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Finding the Fourth Proportional to 572.80, 791.76 and 527.44

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Solution

The fourth proportional to 572.80, 791.76 and 527.44 is: 729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 791.76 = 527.44 : x
  2. Step 2: Convert to fraction form
    572.80/791.76 = 527.44/x
  3. Step 3: Cross multiply
    572.80x = 791.76 × 527.44
  4. Step 4: Simplify right side
    572.80x = 417,605.89
  5. Step 5: Solve for x
    x = 417,605.89/572.80
  6. Step 6: Final answer
    x = 729.06

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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.