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Finding the Fourth Proportional to 861.41, 1,286.27 and 676.73

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Solution

The fourth proportional to 861.41, 1,286.27 and 676.73 is: 1,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.41 : 1,286.27 = 676.73 : x
  2. Step 2: Convert to fraction form
    861.41/1,286.27 = 676.73/x
  3. Step 3: Cross multiply
    861.41x = 1,286.27 × 676.73
  4. Step 4: Simplify right side
    861.41x = 870,452.76
  5. Step 5: Solve for x
    x = 870,452.76/861.41
  6. Step 6: Final answer
    x = 1,010.50

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1.5x scale

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.