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Finding the Fourth Proportional to 778.76, 1,168.92 and 775.52

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Solution

The fourth proportional to 778.76, 1,168.92 and 775.52 is: 1,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.76 : 1,168.92 = 775.52 : x
  2. Step 2: Convert to fraction form
    778.76/1,168.92 = 775.52/x
  3. Step 3: Cross multiply
    778.76x = 1,168.92 × 775.52
  4. Step 4: Simplify right side
    778.76x = 906,520.84
  5. Step 5: Solve for x
    x = 906,520.84/778.76
  6. Step 6: Final answer
    x = 1,164.06

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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.