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Finding the Fourth Proportional to 778.20, 1,161.91 and 770.41

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Solution

The fourth proportional to 778.20, 1,161.91 and 770.41 is: 1,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.20 : 1,161.91 = 770.41 : x
  2. Step 2: Convert to fraction form
    778.20/1,161.91 = 770.41/x
  3. Step 3: Cross multiply
    778.20x = 1,161.91 × 770.41
  4. Step 4: Simplify right side
    778.20x = 895,147.08
  5. Step 5: Solve for x
    x = 895,147.08/778.20
  6. Step 6: Final answer
    x = 1,150.28

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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.