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Finding the Fourth Proportional to 1,253.14, 1,729.28 and 721.95

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Solution

The fourth proportional to 1,253.14, 1,729.28 and 721.95 is: 996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.14 : 1,729.28 = 721.95 : x
  2. Step 2: Convert to fraction form
    1,253.14/1,729.28 = 721.95/x
  3. Step 3: Cross multiply
    1,253.14x = 1,729.28 × 721.95
  4. Step 4: Simplify right side
    1,253.14x = 1,248,449.02
  5. Step 5: Solve for x
    x = 1,248,449.02/1,253.14
  6. Step 6: Final answer
    x = 996.26

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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.