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Finding the Fourth Proportional to 834.20, 1,250.22 and 423.11

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Solution

The fourth proportional to 834.20, 1,250.22 and 423.11 is: 634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.20 : 1,250.22 = 423.11 : x
  2. Step 2: Convert to fraction form
    834.20/1,250.22 = 423.11/x
  3. Step 3: Cross multiply
    834.20x = 1,250.22 × 423.11
  4. Step 4: Simplify right side
    834.20x = 528,980.58
  5. Step 5: Solve for x
    x = 528,980.58/834.20
  6. Step 6: Final answer
    x = 634.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.