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Finding the Fourth Proportional to 766.92, 1,149.75 and 723.99

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Solution

The fourth proportional to 766.92, 1,149.75 and 723.99 is: 1,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,149.75 = 723.99 : x
  2. Step 2: Convert to fraction form
    766.92/1,149.75 = 723.99/x
  3. Step 3: Cross multiply
    766.92x = 1,149.75 × 723.99
  4. Step 4: Simplify right side
    766.92x = 832,407.50
  5. Step 5: Solve for x
    x = 832,407.50/766.92
  6. Step 6: Final answer
    x = 1,085.39

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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.