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Finding the Fourth Proportional to 834.92, 1,150.09 and 638.10

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Solution

The fourth proportional to 834.92, 1,150.09 and 638.10 is: 878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.92 : 1,150.09 = 638.10 : x
  2. Step 2: Convert to fraction form
    834.92/1,150.09 = 638.10/x
  3. Step 3: Cross multiply
    834.92x = 1,150.09 × 638.10
  4. Step 4: Simplify right side
    834.92x = 733,872.43
  5. Step 5: Solve for x
    x = 733,872.43/834.92
  6. Step 6: Final answer
    x = 878.97

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Double scale
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1.5x scale

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.