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Finding the Fourth Proportional to 766.95, 1,151.69 and 518.39

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Solution

The fourth proportional to 766.95, 1,151.69 and 518.39 is: 778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.95 : 1,151.69 = 518.39 : x
  2. Step 2: Convert to fraction form
    766.95/1,151.69 = 518.39/x
  3. Step 3: Cross multiply
    766.95x = 1,151.69 × 518.39
  4. Step 4: Simplify right side
    766.95x = 597,020.12
  5. Step 5: Solve for x
    x = 597,020.12/766.95
  6. Step 6: Final answer
    x = 778.43

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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.