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Finding the Fourth Proportional to 1,350.49, 1,863.68 and 729.49

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Solution

The fourth proportional to 1,350.49, 1,863.68 and 729.49 is: 1,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.49 : 1,863.68 = 729.49 : x
  2. Step 2: Convert to fraction form
    1,350.49/1,863.68 = 729.49/x
  3. Step 3: Cross multiply
    1,350.49x = 1,863.68 × 729.49
  4. Step 4: Simplify right side
    1,350.49x = 1,359,540.46
  5. Step 5: Solve for x
    x = 1,359,540.46/1,350.49
  6. Step 6: Final answer
    x = 1,006.70

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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.