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Finding the Fourth Proportional to 725.88, 1,087.96 and 315.20

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Solution

The fourth proportional to 725.88, 1,087.96 and 315.20 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.88 : 1,087.96 = 315.20 : x
  2. Step 2: Convert to fraction form
    725.88/1,087.96 = 315.20/x
  3. Step 3: Cross multiply
    725.88x = 1,087.96 × 315.20
  4. Step 4: Simplify right side
    725.88x = 342,924.99
  5. Step 5: Solve for x
    x = 342,924.99/725.88
  6. Step 6: Final answer
    x = 472.43

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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.