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Finding the Fourth Proportional to 769.27, 1,059.74 and 611.85

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Solution

The fourth proportional to 769.27, 1,059.74 and 611.85 is: 842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.27 : 1,059.74 = 611.85 : x
  2. Step 2: Convert to fraction form
    769.27/1,059.74 = 611.85/x
  3. Step 3: Cross multiply
    769.27x = 1,059.74 × 611.85
  4. Step 4: Simplify right side
    769.27x = 648,405.13
  5. Step 5: Solve for x
    x = 648,405.13/769.27
  6. Step 6: Final answer
    x = 842.88

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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.