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Finding the Fourth Proportional to 494, 739.92 and 451.88

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Solution

The fourth proportional to 494, 739.92 and 451.88 is: 676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494 : 739.92 = 451.88 : x
  2. Step 2: Convert to fraction form
    494/739.92 = 451.88/x
  3. Step 3: Cross multiply
    494x = 739.92 × 451.88
  4. Step 4: Simplify right side
    494x = 334,355.05
  5. Step 5: Solve for x
    x = 334,355.05/494
  6. Step 6: Final answer
    x = 676.83

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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.