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Finding the Fourth Proportional to 542.62, 748.88 and 321.63

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Solution

The fourth proportional to 542.62, 748.88 and 321.63 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.62 : 748.88 = 321.63 : x
  2. Step 2: Convert to fraction form
    542.62/748.88 = 321.63/x
  3. Step 3: Cross multiply
    542.62x = 748.88 × 321.63
  4. Step 4: Simplify right side
    542.62x = 240,862.27
  5. Step 5: Solve for x
    x = 240,862.27/542.62
  6. Step 6: Final answer
    x = 443.89

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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.