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Finding the Fourth Proportional to 766.92, 1,151.19 and 356.46

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Solution

The fourth proportional to 766.92, 1,151.19 and 356.46 is: 535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,151.19 = 356.46 : x
  2. Step 2: Convert to fraction form
    766.92/1,151.19 = 356.46/x
  3. Step 3: Cross multiply
    766.92x = 1,151.19 × 356.46
  4. Step 4: Simplify right side
    766.92x = 410,347.43
  5. Step 5: Solve for x
    x = 410,347.43/766.92
  6. Step 6: Final answer
    x = 535.06

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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.