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Finding the Fourth Proportional to 542.68, 812.87 and 426.57

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Solution

The fourth proportional to 542.68, 812.87 and 426.57 is: 638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.68 : 812.87 = 426.57 : x
  2. Step 2: Convert to fraction form
    542.68/812.87 = 426.57/x
  3. Step 3: Cross multiply
    542.68x = 812.87 × 426.57
  4. Step 4: Simplify right side
    542.68x = 346,745.96
  5. Step 5: Solve for x
    x = 346,745.96/542.68
  6. Step 6: Final answer
    x = 638.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.