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Finding the Fourth Proportional to 834.46, 1,244.12 and 812.82

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Solution

The fourth proportional to 834.46, 1,244.12 and 812.82 is: 1,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.46 : 1,244.12 = 812.82 : x
  2. Step 2: Convert to fraction form
    834.46/1,244.12 = 812.82/x
  3. Step 3: Cross multiply
    834.46x = 1,244.12 × 812.82
  4. Step 4: Simplify right side
    834.46x = 1,011,245.62
  5. Step 5: Solve for x
    x = 1,011,245.62/834.46
  6. Step 6: Final answer
    x = 1,211.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.