A system and method of melt infiltrating components is provided. In one example aspect, an inductive heating system includes a heating source that inductively heats a susceptor. The susceptor defines a working chamber in which components can be received. During melt infiltration, the system can heat the susceptor and thus the components and melt infiltrants disposed within the working chamber at a first heating rate. The first heating rate can be faster than 50° C./minute. The system can then heat the components and melt infiltrants at a second heating rate. The first heating rate is faster than the second heating rate. Thereafter, the system can heat the components and infiltrants at a third heating rate. The third heating rate can be a constant rate at or above the melting point of the melt infiltrants. The infiltrants can melt and thus infiltrate into the component to densify the component.