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Finding the Fourth Proportional to 871.97, 1,305.96 and 613.13

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Solution

The fourth proportional to 871.97, 1,305.96 and 613.13 is: 918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.97 : 1,305.96 = 613.13 : x
  2. Step 2: Convert to fraction form
    871.97/1,305.96 = 613.13/x
  3. Step 3: Cross multiply
    871.97x = 1,305.96 × 613.13
  4. Step 4: Simplify right side
    871.97x = 800,716.73
  5. Step 5: Solve for x
    x = 800,716.73/871.97
  6. Step 6: Final answer
    x = 918.29

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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.