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Finding the Fourth Proportional to 1,000.97, 1,380.28 and 861.56

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Solution

The fourth proportional to 1,000.97, 1,380.28 and 861.56 is: 1,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.97 : 1,380.28 = 861.56 : x
  2. Step 2: Convert to fraction form
    1,000.97/1,380.28 = 861.56/x
  3. Step 3: Cross multiply
    1,000.97x = 1,380.28 × 861.56
  4. Step 4: Simplify right side
    1,000.97x = 1,189,194.04
  5. Step 5: Solve for x
    x = 1,189,194.04/1,000.97
  6. Step 6: Final answer
    x = 1,188.04

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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.