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Finding the Fourth Proportional to 754.50, 1,131.41 and 315.97

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Solution

The fourth proportional to 754.50, 1,131.41 and 315.97 is: 473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.50 : 1,131.41 = 315.97 : x
  2. Step 2: Convert to fraction form
    754.50/1,131.41 = 315.97/x
  3. Step 3: Cross multiply
    754.50x = 1,131.41 × 315.97
  4. Step 4: Simplify right side
    754.50x = 357,489.58
  5. Step 5: Solve for x
    x = 357,489.58/754.50
  6. Step 6: Final answer
    x = 473.81

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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.