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Finding the Fourth Proportional to 834.11, 1,251.20 and 544.94

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Solution

The fourth proportional to 834.11, 1,251.20 and 544.94 is: 817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.11 : 1,251.20 = 544.94 : x
  2. Step 2: Convert to fraction form
    834.11/1,251.20 = 544.94/x
  3. Step 3: Cross multiply
    834.11x = 1,251.20 × 544.94
  4. Step 4: Simplify right side
    834.11x = 681,828.93
  5. Step 5: Solve for x
    x = 681,828.93/834.11
  6. Step 6: Final answer
    x = 817.43

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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.