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Finding the Fourth Proportional to 766.89, 1,151.42 and 732.06

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Solution

The fourth proportional to 766.89, 1,151.42 and 732.06 is: 1,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,151.42 = 732.06 : x
  2. Step 2: Convert to fraction form
    766.89/1,151.42 = 732.06/x
  3. Step 3: Cross multiply
    766.89x = 1,151.42 × 732.06
  4. Step 4: Simplify right side
    766.89x = 842,904.86
  5. Step 5: Solve for x
    x = 842,904.86/766.89
  6. Step 6: Final answer
    x = 1,099.12

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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.