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Finding the Fourth Proportional to 494.56, 742.20 and 372.97

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Solution

The fourth proportional to 494.56, 742.20 and 372.97 is: 559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.56 : 742.20 = 372.97 : x
  2. Step 2: Convert to fraction form
    494.56/742.20 = 372.97/x
  3. Step 3: Cross multiply
    494.56x = 742.20 × 372.97
  4. Step 4: Simplify right side
    494.56x = 276,818.33
  5. Step 5: Solve for x
    x = 276,818.33/494.56
  6. Step 6: Final answer
    x = 559.73

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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.