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Finding the Fourth Proportional to 912.56, 1,257.84 and 834.14

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Solution

The fourth proportional to 912.56, 1,257.84 and 834.14 is: 1,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.56 : 1,257.84 = 834.14 : x
  2. Step 2: Convert to fraction form
    912.56/1,257.84 = 834.14/x
  3. Step 3: Cross multiply
    912.56x = 1,257.84 × 834.14
  4. Step 4: Simplify right side
    912.56x = 1,049,217.80
  5. Step 5: Solve for x
    x = 1,049,217.80/912.56
  6. Step 6: Final answer
    x = 1,149.76

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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.