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Finding the Fourth Proportional to 456.92, 685.33 and 127.86

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Solution

The fourth proportional to 456.92, 685.33 and 127.86 is: 191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 685.33 = 127.86 : x
  2. Step 2: Convert to fraction form
    456.92/685.33 = 127.86/x
  3. Step 3: Cross multiply
    456.92x = 685.33 × 127.86
  4. Step 4: Simplify right side
    456.92x = 87,626.29
  5. Step 5: Solve for x
    x = 87,626.29/456.92
  6. Step 6: Final answer
    x = 191.78

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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.