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Finding the Fourth Proportional to 542.89, 748.80 and 524.81

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Solution

The fourth proportional to 542.89, 748.80 and 524.81 is: 723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 748.80 = 524.81 : x
  2. Step 2: Convert to fraction form
    542.89/748.80 = 524.81/x
  3. Step 3: Cross multiply
    542.89x = 748.80 × 524.81
  4. Step 4: Simplify right side
    542.89x = 392,977.73
  5. Step 5: Solve for x
    x = 392,977.73/542.89
  6. Step 6: Final answer
    x = 723.86

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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.