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Finding the Fourth Proportional to 837.38, 1,253.43 and 749.33

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Solution

The fourth proportional to 837.38, 1,253.43 and 749.33 is: 1,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.38 : 1,253.43 = 749.33 : x
  2. Step 2: Convert to fraction form
    837.38/1,253.43 = 749.33/x
  3. Step 3: Cross multiply
    837.38x = 1,253.43 × 749.33
  4. Step 4: Simplify right side
    837.38x = 939,232.70
  5. Step 5: Solve for x
    x = 939,232.70/837.38
  6. Step 6: Final answer
    x = 1,121.63

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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.