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Finding the Fourth Proportional to 542.41, 747.96 and 409.94

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Solution

The fourth proportional to 542.41, 747.96 and 409.94 is: 565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.41 : 747.96 = 409.94 : x
  2. Step 2: Convert to fraction form
    542.41/747.96 = 409.94/x
  3. Step 3: Cross multiply
    542.41x = 747.96 × 409.94
  4. Step 4: Simplify right side
    542.41x = 306,618.72
  5. Step 5: Solve for x
    x = 306,618.72/542.41
  6. Step 6: Final answer
    x = 565.29

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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.