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Finding the Fourth Proportional to 725.75, 1,089.11 and 269.75

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Solution

The fourth proportional to 725.75, 1,089.11 and 269.75 is: 404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.75 : 1,089.11 = 269.75 : x
  2. Step 2: Convert to fraction form
    725.75/1,089.11 = 269.75/x
  3. Step 3: Cross multiply
    725.75x = 1,089.11 × 269.75
  4. Step 4: Simplify right side
    725.75x = 293,787.42
  5. Step 5: Solve for x
    x = 293,787.42/725.75
  6. Step 6: Final answer
    x = 404.81

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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.