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Finding the Fourth Proportional to 837.13, 1,253.05 and 749.07

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Solution

The fourth proportional to 837.13, 1,253.05 and 749.07 is: 1,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.13 : 1,253.05 = 749.07 : x
  2. Step 2: Convert to fraction form
    837.13/1,253.05 = 749.07/x
  3. Step 3: Cross multiply
    837.13x = 1,253.05 × 749.07
  4. Step 4: Simplify right side
    837.13x = 938,622.16
  5. Step 5: Solve for x
    x = 938,622.16/837.13
  6. Step 6: Final answer
    x = 1,121.24

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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.