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Finding the Fourth Proportional to 871.97, 1,306.98 and 665.86

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Solution

The fourth proportional to 871.97, 1,306.98 and 665.86 is: 998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.97 : 1,306.98 = 665.86 : x
  2. Step 2: Convert to fraction form
    871.97/1,306.98 = 665.86/x
  3. Step 3: Cross multiply
    871.97x = 1,306.98 × 665.86
  4. Step 4: Simplify right side
    871.97x = 870,265.70
  5. Step 5: Solve for x
    x = 870,265.70/871.97
  6. Step 6: Final answer
    x = 998.05

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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.