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Finding the Fourth Proportional to 861.14, 1,187.49 and 773.78

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Solution

The fourth proportional to 861.14, 1,187.49 and 773.78 is: 1,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.14 : 1,187.49 = 773.78 : x
  2. Step 2: Convert to fraction form
    861.14/1,187.49 = 773.78/x
  3. Step 3: Cross multiply
    861.14x = 1,187.49 × 773.78
  4. Step 4: Simplify right side
    861.14x = 918,856.01
  5. Step 5: Solve for x
    x = 918,856.01/861.14
  6. Step 6: Final answer
    x = 1,067.02

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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.