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Finding the Fourth Proportional to 725.68, 1,089.14 and 315.15

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Solution

The fourth proportional to 725.68, 1,089.14 and 315.15 is: 472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.68 : 1,089.14 = 315.15 : x
  2. Step 2: Convert to fraction form
    725.68/1,089.14 = 315.15/x
  3. Step 3: Cross multiply
    725.68x = 1,089.14 × 315.15
  4. Step 4: Simplify right side
    725.68x = 343,240.54
  5. Step 5: Solve for x
    x = 343,240.54/725.68
  6. Step 6: Final answer
    x = 472.99

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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.