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Finding the Fourth Proportional to 834.73, 1,151.68 and 520.22

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Solution

The fourth proportional to 834.73, 1,151.68 and 520.22 is: 717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.73 : 1,151.68 = 520.22 : x
  2. Step 2: Convert to fraction form
    834.73/1,151.68 = 520.22/x
  3. Step 3: Cross multiply
    834.73x = 1,151.68 × 520.22
  4. Step 4: Simplify right side
    834.73x = 599,126.97
  5. Step 5: Solve for x
    x = 599,126.97/834.73
  6. Step 6: Final answer
    x = 717.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.