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Finding the Fourth Proportional to 742.91, 1,025.26 and 733.73

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Solution

The fourth proportional to 742.91, 1,025.26 and 733.73 is: 1,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,025.26 = 733.73 : x
  2. Step 2: Convert to fraction form
    742.91/1,025.26 = 733.73/x
  3. Step 3: Cross multiply
    742.91x = 1,025.26 × 733.73
  4. Step 4: Simplify right side
    742.91x = 752,257.06
  5. Step 5: Solve for x
    x = 752,257.06/742.91
  6. Step 6: Final answer
    x = 1,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.