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Finding the Fourth Proportional to 912.49, 1,265.17 and 863.29

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Solution

The fourth proportional to 912.49, 1,265.17 and 863.29 is: 1,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.49 : 1,265.17 = 863.29 : x
  2. Step 2: Convert to fraction form
    912.49/1,265.17 = 863.29/x
  3. Step 3: Cross multiply
    912.49x = 1,265.17 × 863.29
  4. Step 4: Simplify right side
    912.49x = 1,092,208.61
  5. Step 5: Solve for x
    x = 1,092,208.61/912.49
  6. Step 6: Final answer
    x = 1,196.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.