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Finding the Fourth Proportional to 862.18, 1,286.60 and 769.88

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Solution

The fourth proportional to 862.18, 1,286.60 and 769.88 is: 1,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.18 : 1,286.60 = 769.88 : x
  2. Step 2: Convert to fraction form
    862.18/1,286.60 = 769.88/x
  3. Step 3: Cross multiply
    862.18x = 1,286.60 × 769.88
  4. Step 4: Simplify right side
    862.18x = 990,526.98
  5. Step 5: Solve for x
    x = 990,526.98/862.18
  6. Step 6: Final answer
    x = 1,148.87

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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.