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Finding the Fourth Proportional to 778.78, 1,168.17 and 755.02

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Solution

The fourth proportional to 778.78, 1,168.17 and 755.02 is: 1,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.78 : 1,168.17 = 755.02 : x
  2. Step 2: Convert to fraction form
    778.78/1,168.17 = 755.02/x
  3. Step 3: Cross multiply
    778.78x = 1,168.17 × 755.02
  4. Step 4: Simplify right side
    778.78x = 881,991.71
  5. Step 5: Solve for x
    x = 881,991.71/778.78
  6. Step 6: Final answer
    x = 1,132.53

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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.