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Finding the Fourth Proportional to 542.16, 743.31 and 528.39

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Solution

The fourth proportional to 542.16, 743.31 and 528.39 is: 724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 743.31 = 528.39 : x
  2. Step 2: Convert to fraction form
    542.16/743.31 = 528.39/x
  3. Step 3: Cross multiply
    542.16x = 743.31 × 528.39
  4. Step 4: Simplify right side
    542.16x = 392,757.57
  5. Step 5: Solve for x
    x = 392,757.57/542.16
  6. Step 6: Final answer
    x = 724.43

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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.