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Finding the Fourth Proportional to 542.11, 747.79 and 334.75

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Solution

The fourth proportional to 542.11, 747.79 and 334.75 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.11 : 747.79 = 334.75 : x
  2. Step 2: Convert to fraction form
    542.11/747.79 = 334.75/x
  3. Step 3: Cross multiply
    542.11x = 747.79 × 334.75
  4. Step 4: Simplify right side
    542.11x = 250,322.70
  5. Step 5: Solve for x
    x = 250,322.70/542.11
  6. Step 6: Final answer
    x = 461.76

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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.