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Finding the Fourth Proportional to 834.38, 1,151.50 and 461.37

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Solution

The fourth proportional to 834.38, 1,151.50 and 461.37 is: 636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.38 : 1,151.50 = 461.37 : x
  2. Step 2: Convert to fraction form
    834.38/1,151.50 = 461.37/x
  3. Step 3: Cross multiply
    834.38x = 1,151.50 × 461.37
  4. Step 4: Simplify right side
    834.38x = 531,267.56
  5. Step 5: Solve for x
    x = 531,267.56/834.38
  6. Step 6: Final answer
    x = 636.73

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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.