You need them so you can type your objects outside the hierarchy.
For example, the objects that can be compared can be pretty much anywhere on the object hierarchy - they do not need to have a common ancestor which can be compared. Strings can be compared, Integers can be compared, you could even make your own Frames that could be compared (say, a frame is "less" than another frame if it is more in the foreground - i.e. if it would overlay the other frame). Thus, if you want to refer to a thing that can be compared, you would be forced to declare a variable with the most general ancestor - in this case, Object. This is too general, because then it can also receive values which are not comparable (and would throw errors when you try to compare them).
Thus, the interface Comparable: it selects all the classes that implement the comparison functionality across the subclass-superclass hierarchy.