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Finding the Fourth Proportional to 834.71, 1,250.85 and 469.61

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Solution

The fourth proportional to 834.71, 1,250.85 and 469.61 is: 703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,250.85 = 469.61 : x
  2. Step 2: Convert to fraction form
    834.71/1,250.85 = 469.61/x
  3. Step 3: Cross multiply
    834.71x = 1,250.85 × 469.61
  4. Step 4: Simplify right side
    834.71x = 587,405.41
  5. Step 5: Solve for x
    x = 587,405.41/834.71
  6. Step 6: Final answer
    x = 703.72

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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.