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Finding the Fourth Proportional to 834.59, 1,247.30 and 768.92

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Solution

The fourth proportional to 834.59, 1,247.30 and 768.92 is: 1,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.59 : 1,247.30 = 768.92 : x
  2. Step 2: Convert to fraction form
    834.59/1,247.30 = 768.92/x
  3. Step 3: Cross multiply
    834.59x = 1,247.30 × 768.92
  4. Step 4: Simplify right side
    834.59x = 959,063.83
  5. Step 5: Solve for x
    x = 959,063.83/834.59
  6. Step 6: Final answer
    x = 1,149.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.