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Finding the Fourth Proportional to 534.59, 731.37 and 532.28

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Solution

The fourth proportional to 534.59, 731.37 and 532.28 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.59 : 731.37 = 532.28 : x
  2. Step 2: Convert to fraction form
    534.59/731.37 = 532.28/x
  3. Step 3: Cross multiply
    534.59x = 731.37 × 532.28
  4. Step 4: Simplify right side
    534.59x = 389,289.97
  5. Step 5: Solve for x
    x = 389,289.97/534.59
  6. Step 6: Final answer
    x = 728.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.