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Finding the Fourth Proportional to 834.05, 1,250.96 and 217.70

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Solution

The fourth proportional to 834.05, 1,250.96 and 217.70 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,250.96 = 217.70 : x
  2. Step 2: Convert to fraction form
    834.05/1,250.96 = 217.70/x
  3. Step 3: Cross multiply
    834.05x = 1,250.96 × 217.70
  4. Step 4: Simplify right side
    834.05x = 272,332.90
  5. Step 5: Solve for x
    x = 272,332.90/834.05
  6. Step 6: Final answer
    x = 326.52

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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.