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Finding the Fourth Proportional to 1,002.87, 1,382.49 and 862.38

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Solution

The fourth proportional to 1,002.87, 1,382.49 and 862.38 is: 1,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.87 : 1,382.49 = 862.38 : x
  2. Step 2: Convert to fraction form
    1,002.87/1,382.49 = 862.38/x
  3. Step 3: Cross multiply
    1,002.87x = 1,382.49 × 862.38
  4. Step 4: Simplify right side
    1,002.87x = 1,192,231.73
  5. Step 5: Solve for x
    x = 1,192,231.73/1,002.87
  6. Step 6: Final answer
    x = 1,188.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.