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Finding the Fourth Proportional to 456.85, 631.02 and 374.97

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Solution

The fourth proportional to 456.85, 631.02 and 374.97 is: 517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.85 : 631.02 = 374.97 : x
  2. Step 2: Convert to fraction form
    456.85/631.02 = 374.97/x
  3. Step 3: Cross multiply
    456.85x = 631.02 × 374.97
  4. Step 4: Simplify right side
    456.85x = 236,613.57
  5. Step 5: Solve for x
    x = 236,613.57/456.85
  6. Step 6: Final answer
    x = 517.92

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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.