The term 'profligate one' can be defined by two crossword solutions: RAKE (4 letters) and ROUE (4 letters). A RAKE is a person who is known for their immoral behavior, often involving excessive drinking, gambling, and womanizing. A ROUE is a man who is devoted to a life of pleasure and luxury, often involving the same activities as a RAKE. Both terms are used to describe someone who is considered to be irresponsible and extravagant with their money and lifestyle.