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Finding the Fourth Proportional to 834.76, 1,251.03 and 604.42

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Solution

The fourth proportional to 834.76, 1,251.03 and 604.42 is: 905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.76 : 1,251.03 = 604.42 : x
  2. Step 2: Convert to fraction form
    834.76/1,251.03 = 604.42/x
  3. Step 3: Cross multiply
    834.76x = 1,251.03 × 604.42
  4. Step 4: Simplify right side
    834.76x = 756,147.55
  5. Step 5: Solve for x
    x = 756,147.55/834.76
  6. Step 6: Final answer
    x = 905.83

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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.