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Finding the Fourth Proportional to 834.43, 1,251.73 and 314.87

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Solution

The fourth proportional to 834.43, 1,251.73 and 314.87 is: 472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.43 : 1,251.73 = 314.87 : x
  2. Step 2: Convert to fraction form
    834.43/1,251.73 = 314.87/x
  3. Step 3: Cross multiply
    834.43x = 1,251.73 × 314.87
  4. Step 4: Simplify right side
    834.43x = 394,132.08
  5. Step 5: Solve for x
    x = 394,132.08/834.43
  6. Step 6: Final answer
    x = 472.34

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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.