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Finding the Fourth Proportional to 542.43, 743.68 and 532.58

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Solution

The fourth proportional to 542.43, 743.68 and 532.58 is: 730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 743.68 = 532.58 : x
  2. Step 2: Convert to fraction form
    542.43/743.68 = 532.58/x
  3. Step 3: Cross multiply
    542.43x = 743.68 × 532.58
  4. Step 4: Simplify right side
    542.43x = 396,066.04
  5. Step 5: Solve for x
    x = 396,066.04/542.43
  6. Step 6: Final answer
    x = 730.17

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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.