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Finding the Fourth Proportional to 766.91, 1,150.29 and 280.07

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Solution

The fourth proportional to 766.91, 1,150.29 and 280.07 is: 420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.91 : 1,150.29 = 280.07 : x
  2. Step 2: Convert to fraction form
    766.91/1,150.29 = 280.07/x
  3. Step 3: Cross multiply
    766.91x = 1,150.29 × 280.07
  4. Step 4: Simplify right side
    766.91x = 322,155.97
  5. Step 5: Solve for x
    x = 322,155.97/766.91
  6. Step 6: Final answer
    x = 420.07

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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.