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Finding the Fourth Proportional to 725.52, 1,089.49 and 719.85

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Solution

The fourth proportional to 725.52, 1,089.49 and 719.85 is: 1,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.52 : 1,089.49 = 719.85 : x
  2. Step 2: Convert to fraction form
    725.52/1,089.49 = 719.85/x
  3. Step 3: Cross multiply
    725.52x = 1,089.49 × 719.85
  4. Step 4: Simplify right side
    725.52x = 784,269.38
  5. Step 5: Solve for x
    x = 784,269.38/725.52
  6. Step 6: Final answer
    x = 1,080.98

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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.