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Finding the Fourth Proportional to 861.92, 1,286.22 and 769.62

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Solution

The fourth proportional to 861.92, 1,286.22 and 769.62 is: 1,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.92 : 1,286.22 = 769.62 : x
  2. Step 2: Convert to fraction form
    861.92/1,286.22 = 769.62/x
  3. Step 3: Cross multiply
    861.92x = 1,286.22 × 769.62
  4. Step 4: Simplify right side
    861.92x = 989,900.64
  5. Step 5: Solve for x
    x = 989,900.64/861.92
  6. Step 6: Final answer
    x = 1,148.48

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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.