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Finding the Fourth Proportional to 725.65, 1,087.71 and 314.44

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Solution

The fourth proportional to 725.65, 1,087.71 and 314.44 is: 471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.65 : 1,087.71 = 314.44 : x
  2. Step 2: Convert to fraction form
    725.65/1,087.71 = 314.44/x
  3. Step 3: Cross multiply
    725.65x = 1,087.71 × 314.44
  4. Step 4: Simplify right side
    725.65x = 342,019.53
  5. Step 5: Solve for x
    x = 342,019.53/725.65
  6. Step 6: Final answer
    x = 471.33

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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.