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Finding the Fourth Proportional to 834.42, 1,247.09 and 768.75

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Solution

The fourth proportional to 834.42, 1,247.09 and 768.75 is: 1,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.42 : 1,247.09 = 768.75 : x
  2. Step 2: Convert to fraction form
    834.42/1,247.09 = 768.75/x
  3. Step 3: Cross multiply
    834.42x = 1,247.09 × 768.75
  4. Step 4: Simplify right side
    834.42x = 958,696.59
  5. Step 5: Solve for x
    x = 958,696.59/834.42
  6. Step 6: Final answer
    x = 1,148.94

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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.