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Finding the Fourth Proportional to 534.40, 732.64 and 517.12

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Solution

The fourth proportional to 534.40, 732.64 and 517.12 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.40 : 732.64 = 517.12 : x
  2. Step 2: Convert to fraction form
    534.40/732.64 = 517.12/x
  3. Step 3: Cross multiply
    534.40x = 732.64 × 517.12
  4. Step 4: Simplify right side
    534.40x = 378,862.80
  5. Step 5: Solve for x
    x = 378,862.80/534.40
  6. Step 6: Final answer
    x = 708.95

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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.