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Finding the Fourth Proportional to 494.20, 681.90 and 428.92

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Solution

The fourth proportional to 494.20, 681.90 and 428.92 is: 591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 681.90 = 428.92 : x
  2. Step 2: Convert to fraction form
    494.20/681.90 = 428.92/x
  3. Step 3: Cross multiply
    494.20x = 681.90 × 428.92
  4. Step 4: Simplify right side
    494.20x = 292,480.55
  5. Step 5: Solve for x
    x = 292,480.55/494.20
  6. Step 6: Final answer
    x = 591.83

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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.