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Finding the Fourth Proportional to 777.20, 1,160.42 and 769.41

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Solution

The fourth proportional to 777.20, 1,160.42 and 769.41 is: 1,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.20 : 1,160.42 = 769.41 : x
  2. Step 2: Convert to fraction form
    777.20/1,160.42 = 769.41/x
  3. Step 3: Cross multiply
    777.20x = 1,160.42 × 769.41
  4. Step 4: Simplify right side
    777.20x = 892,834.91
  5. Step 5: Solve for x
    x = 892,834.91/777.20
  6. Step 6: Final answer
    x = 1,148.78

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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.