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Finding the Fourth Proportional to 834.40, 1,254.30 and 769.60

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Solution

The fourth proportional to 834.40, 1,254.30 and 769.60 is: 1,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,254.30 = 769.60 : x
  2. Step 2: Convert to fraction form
    834.40/1,254.30 = 769.60/x
  3. Step 3: Cross multiply
    834.40x = 1,254.30 × 769.60
  4. Step 4: Simplify right side
    834.40x = 965,309.28
  5. Step 5: Solve for x
    x = 965,309.28/834.40
  6. Step 6: Final answer
    x = 1,156.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.