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Finding the Fourth Proportional to 725.52, 1,089.09 and 714.18

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Solution

The fourth proportional to 725.52, 1,089.09 and 714.18 is: 1,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.52 : 1,089.09 = 714.18 : x
  2. Step 2: Convert to fraction form
    725.52/1,089.09 = 714.18/x
  3. Step 3: Cross multiply
    725.52x = 1,089.09 × 714.18
  4. Step 4: Simplify right side
    725.52x = 777,806.30
  5. Step 5: Solve for x
    x = 777,806.30/725.52
  6. Step 6: Final answer
    x = 1,072.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.