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Finding the Fourth Proportional to 789.28, 1,181.12 and 742.57

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Solution

The fourth proportional to 789.28, 1,181.12 and 742.57 is: 1,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.28 : 1,181.12 = 742.57 : x
  2. Step 2: Convert to fraction form
    789.28/1,181.12 = 742.57/x
  3. Step 3: Cross multiply
    789.28x = 1,181.12 × 742.57
  4. Step 4: Simplify right side
    789.28x = 877,057.61
  5. Step 5: Solve for x
    x = 877,057.61/789.28
  6. Step 6: Final answer
    x = 1,111.22

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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.