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Finding the Fourth Proportional to 542.34, 747.48 and 471.96

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Solution

The fourth proportional to 542.34, 747.48 and 471.96 is: 650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 747.48 = 471.96 : x
  2. Step 2: Convert to fraction form
    542.34/747.48 = 471.96/x
  3. Step 3: Cross multiply
    542.34x = 747.48 × 471.96
  4. Step 4: Simplify right side
    542.34x = 352,780.66
  5. Step 5: Solve for x
    x = 352,780.66/542.34
  6. Step 6: Final answer
    x = 650.48

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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.