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Finding the Fourth Proportional to 1,002.28, 1,381.75 and 863.87

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Solution

The fourth proportional to 1,002.28, 1,381.75 and 863.87 is: 1,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.28 : 1,381.75 = 863.87 : x
  2. Step 2: Convert to fraction form
    1,002.28/1,381.75 = 863.87/x
  3. Step 3: Cross multiply
    1,002.28x = 1,381.75 × 863.87
  4. Step 4: Simplify right side
    1,002.28x = 1,193,651.73
  5. Step 5: Solve for x
    x = 1,193,651.73/1,002.28
  6. Step 6: Final answer
    x = 1,190.94

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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.