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Finding the Fourth Proportional to 938.26, 1,408.38 and 766.90

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Solution

The fourth proportional to 938.26, 1,408.38 and 766.90 is: 1,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.26 : 1,408.38 = 766.90 : x
  2. Step 2: Convert to fraction form
    938.26/1,408.38 = 766.90/x
  3. Step 3: Cross multiply
    938.26x = 1,408.38 × 766.90
  4. Step 4: Simplify right side
    938.26x = 1,080,086.62
  5. Step 5: Solve for x
    x = 1,080,086.62/938.26
  6. Step 6: Final answer
    x = 1,151.16

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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.