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Finding the Fourth Proportional to 862.42, 1,286.98 and 770.13

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Solution

The fourth proportional to 862.42, 1,286.98 and 770.13 is: 1,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.42 : 1,286.98 = 770.13 : x
  2. Step 2: Convert to fraction form
    862.42/1,286.98 = 770.13/x
  3. Step 3: Cross multiply
    862.42x = 1,286.98 × 770.13
  4. Step 4: Simplify right side
    862.42x = 991,141.91
  5. Step 5: Solve for x
    x = 991,141.91/862.42
  6. Step 6: Final answer
    x = 1,149.26

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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.