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Finding the Fourth Proportional to 542.14, 745.91 and 478.87

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Solution

The fourth proportional to 542.14, 745.91 and 478.87 is: 658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.14 : 745.91 = 478.87 : x
  2. Step 2: Convert to fraction form
    542.14/745.91 = 478.87/x
  3. Step 3: Cross multiply
    542.14x = 745.91 × 478.87
  4. Step 4: Simplify right side
    542.14x = 357,193.92
  5. Step 5: Solve for x
    x = 357,193.92/542.14
  6. Step 6: Final answer
    x = 658.86

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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.