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Finding the Fourth Proportional to 573.12, 791.40 and 464.04

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Solution

The fourth proportional to 573.12, 791.40 and 464.04 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.12 : 791.40 = 464.04 : x
  2. Step 2: Convert to fraction form
    573.12/791.40 = 464.04/x
  3. Step 3: Cross multiply
    573.12x = 791.40 × 464.04
  4. Step 4: Simplify right side
    573.12x = 367,241.26
  5. Step 5: Solve for x
    x = 367,241.26/573.12
  6. Step 6: Final answer
    x = 640.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.