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Finding the Fourth Proportional to 842.13, 1,262.12 and 744.26

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Solution

The fourth proportional to 842.13, 1,262.12 and 744.26 is: 1,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.13 : 1,262.12 = 744.26 : x
  2. Step 2: Convert to fraction form
    842.13/1,262.12 = 744.26/x
  3. Step 3: Cross multiply
    842.13x = 1,262.12 × 744.26
  4. Step 4: Simplify right side
    842.13x = 939,335.40
  5. Step 5: Solve for x
    x = 939,335.40/842.13
  6. Step 6: Final answer
    x = 1,115.43

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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.