<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2025-05-15</periodOfReport>

    <notSubjectToSection16>true</notSubjectToSection16>

    <issuer>
        <issuerCik>0001637715</issuerCik>
        <issuerName>OnKure Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>OKUR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001583977</rptOwnerCik>
            <rptOwnerName>Cormorant Asset Management, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>200 CLARENDON STREET</rptOwnerStreet1>
            <rptOwnerStreet2>52ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOther>true</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001618442</rptOwnerCik>
            <rptOwnerName>Cormorant Global Healthcare Master Fund, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>200 CLARENDON STREET</rptOwnerStreet1>
            <rptOwnerStreet2>52ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOther>true</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001817320</rptOwnerCik>
            <rptOwnerName>Cormorant Private Healthcare Fund III LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>200 CLARENDON STREET</rptOwnerStreet1>
            <rptOwnerStreet2>52ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOther>true</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001871297</rptOwnerCik>
            <rptOwnerName>Cormorant Private Healthcare Fund IV LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>200 CLARENDON STREET</rptOwnerStreet1>
            <rptOwnerStreet2>52ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOther>true</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001969296</rptOwnerCik>
            <rptOwnerName>Cormorant Private Healthcare Fund V LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>200 CLARENDON STREET</rptOwnerStreet1>
            <rptOwnerStreet2>52ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOther>true</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001599214</rptOwnerCik>
            <rptOwnerName>Chen Bihua</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CORMORANT ASSET MANAGEMENT, LP</rptOwnerStreet1>
            <rptOwnerStreet2>200 CLARENDON STREET, 52ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOther>true</isOther>
            <otherText>Former 10% Owner</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>false</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2025-05-15</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1813439</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>1.8545</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Cormorant Asset Management, LP serves as the investment manager to Cormorant Global Healthcare Master Fund, LP (the &quot;Master Fund&quot;), Cormorant Private Healthcare Fund III, LP (&quot;Fund III&quot;), Cormorant Private Healthcare Fund IV, LP (&quot;Fund IV&quot;) and Cormorant Private Healthcare Fund V, LP (&quot;Fund V&quot;). Cormorant Global Healthcare GP, LLC, Cormorant Private Healthcare GP III, LLC, Cormorant Private Healthcare GP IV, LLC and Cormorant Private Healthcare GP V, LLC serve as the general partners of the Master Fund, Fund III, Fund IV and Fund V, respectively. Bihua Chen serves as the managing member of Cormorant Global Healthcare GP, LLC, Cormorant Private Healthcare GP III, LLC, Cormorant Private Healthcare GP IV, LLC and Cormorant Private Healthcare GP V, LLC, and the general partner of Cormorant Asset Management, LP.</footnote>
        <footnote id="F2">Represents the weighted average sale price of Class A Common Stock (the &quot;shares&quot;) sold in a series of open market transactions on the transaction date ranging from $1.85 to $2.03 per share. The Reporting Persons undertake to provide, upon request by the staff of the Securities and Exchange Commission, the issuer, or a security holder of the issuer, full information regarding the number of shares sold at each price.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>CORMORANT ASSET MANAGEMENT, LP By: /s/ Bihua Chen, Managing Member</signatureName>
        <signatureDate>2025-05-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CORMORANT GLOBAL HEALTHCARE MASTER FUND, LP By: Cormorant Global Healthcare GP, LLC, its General Partner By: /s/ Bihua Chen, Managing Member</signatureName>
        <signatureDate>2025-05-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CORMORANT PRIVATE HEALTHCARE FUND III, LP By: Cormorant Private
Healthcare GP III, LLC, its General Partner By: /s/ Bihua Chen , Managing Member</signatureName>
        <signatureDate>2025-05-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CORMORANT PRIVATE HEALTHCARE FUND IV, LP By: Cormorant Private Healthcare GP IV, LLC, its General Partner By: /s/ Bihua Chen, Managing Member</signatureName>
        <signatureDate>2025-05-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CORMORANT PRIVATE HEALTHCARE FUND V, LP By: Cormorant Private Healthcare GP V, LLC, its General Partner By: /s/ Bihua Chen, Managing Member</signatureName>
        <signatureDate>2025-05-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Bihua Chen</signatureName>
        <signatureDate>2025-05-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
