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Finding the Fourth Proportional to 725.70, 1,001.18 and 537.09

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Solution

The fourth proportional to 725.70, 1,001.18 and 537.09 is: 740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.70 : 1,001.18 = 537.09 : x
  2. Step 2: Convert to fraction form
    725.70/1,001.18 = 537.09/x
  3. Step 3: Cross multiply
    725.70x = 1,001.18 × 537.09
  4. Step 4: Simplify right side
    725.70x = 537,723.77
  5. Step 5: Solve for x
    x = 537,723.77/725.70
  6. Step 6: Final answer
    x = 740.98

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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.