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Finding the Fourth Proportional to 542.54, 748.31 and 524.46

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Solution

The fourth proportional to 542.54, 748.31 and 524.46 is: 723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.54 : 748.31 = 524.46 : x
  2. Step 2: Convert to fraction form
    542.54/748.31 = 524.46/x
  3. Step 3: Cross multiply
    542.54x = 748.31 × 524.46
  4. Step 4: Simplify right side
    542.54x = 392,458.66
  5. Step 5: Solve for x
    x = 392,458.66/542.54
  6. Step 6: Final answer
    x = 723.37

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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.