Final answer:
The Progressive Era's Social Gospel principles aligned most closely with the settlement house movement's objectives of providing social services to the working class.
Step-by-step explanation:
During the Progressive Era, the principles of the Social Gospel were most consistent with the goals of the settlement house movement. The Social Gospel sought to apply Christian ethics to social issues such as poverty and inequality. The settlement house movement, led by figures like Jane Addams, Lillian Wald, and Ellen Gates Starr, aimed to provide social services and education to working-class individuals and families, which resonates with the Social Gospel's objective of serving those in need as a form of Christian charity.