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Finding the Fourth Proportional to 766.92, 1,151.13 and 356.15

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Solution

The fourth proportional to 766.92, 1,151.13 and 356.15 is: 534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,151.13 = 356.15 : x
  2. Step 2: Convert to fraction form
    766.92/1,151.13 = 356.15/x
  3. Step 3: Cross multiply
    766.92x = 1,151.13 × 356.15
  4. Step 4: Simplify right side
    766.92x = 409,969.19
  5. Step 5: Solve for x
    x = 409,969.19/766.92
  6. Step 6: Final answer
    x = 534.57

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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.