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Finding the Fourth Proportional to 834.39, 1,249.11 and 821.43

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Solution

The fourth proportional to 834.39, 1,249.11 and 821.43 is: 1,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.39 : 1,249.11 = 821.43 : x
  2. Step 2: Convert to fraction form
    834.39/1,249.11 = 821.43/x
  3. Step 3: Cross multiply
    834.39x = 1,249.11 × 821.43
  4. Step 4: Simplify right side
    834.39x = 1,026,056.43
  5. Step 5: Solve for x
    x = 1,026,056.43/834.39
  6. Step 6: Final answer
    x = 1,229.71

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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.