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Finding the Fourth Proportional to 834.34, 1,251.14 and 482.89

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Solution

The fourth proportional to 834.34, 1,251.14 and 482.89 is: 724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.34 : 1,251.14 = 482.89 : x
  2. Step 2: Convert to fraction form
    834.34/1,251.14 = 482.89/x
  3. Step 3: Cross multiply
    834.34x = 1,251.14 × 482.89
  4. Step 4: Simplify right side
    834.34x = 604,160.58
  5. Step 5: Solve for x
    x = 604,160.58/834.34
  6. Step 6: Final answer
    x = 724.12

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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.