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Finding the Fourth Proportional to 805.20, 1,201.17 and 744

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Solution

The fourth proportional to 805.20, 1,201.17 and 744 is: 1,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.20 : 1,201.17 = 744 : x
  2. Step 2: Convert to fraction form
    805.20/1,201.17 = 744/x
  3. Step 3: Cross multiply
    805.20x = 1,201.17 × 744
  4. Step 4: Simplify right side
    805.20x = 893,670.48
  5. Step 5: Solve for x
    x = 893,670.48/805.20
  6. Step 6: Final answer
    x = 1,109.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.