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Finding the Fourth Proportional to 486.92, 727.13 and 461.96

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Solution

The fourth proportional to 486.92, 727.13 and 461.96 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.92 : 727.13 = 461.96 : x
  2. Step 2: Convert to fraction form
    486.92/727.13 = 461.96/x
  3. Step 3: Cross multiply
    486.92x = 727.13 × 461.96
  4. Step 4: Simplify right side
    486.92x = 335,904.97
  5. Step 5: Solve for x
    x = 335,904.97/486.92
  6. Step 6: Final answer
    x = 689.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.