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Finding the Fourth Proportional to 862.53, 1,287.11 and 770.49

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Solution

The fourth proportional to 862.53, 1,287.11 and 770.49 is: 1,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.53 : 1,287.11 = 770.49 : x
  2. Step 2: Convert to fraction form
    862.53/1,287.11 = 770.49/x
  3. Step 3: Cross multiply
    862.53x = 1,287.11 × 770.49
  4. Step 4: Simplify right side
    862.53x = 991,701.53
  5. Step 5: Solve for x
    x = 991,701.53/862.53
  6. Step 6: Final answer
    x = 1,149.76

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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.