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Finding the Fourth Proportional to 834.90, 1,252.72 and 449.70

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Solution

The fourth proportional to 834.90, 1,252.72 and 449.70 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.90 : 1,252.72 = 449.70 : x
  2. Step 2: Convert to fraction form
    834.90/1,252.72 = 449.70/x
  3. Step 3: Cross multiply
    834.90x = 1,252.72 × 449.70
  4. Step 4: Simplify right side
    834.90x = 563,348.18
  5. Step 5: Solve for x
    x = 563,348.18/834.90
  6. Step 6: Final answer
    x = 674.75

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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.