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Finding the Fourth Proportional to 1,268.14, 1,749.97 and 796.12

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Solution

The fourth proportional to 1,268.14, 1,749.97 and 796.12 is: 1,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.14 : 1,749.97 = 796.12 : x
  2. Step 2: Convert to fraction form
    1,268.14/1,749.97 = 796.12/x
  3. Step 3: Cross multiply
    1,268.14x = 1,749.97 × 796.12
  4. Step 4: Simplify right side
    1,268.14x = 1,393,186.12
  5. Step 5: Solve for x
    x = 1,393,186.12/1,268.14
  6. Step 6: Final answer
    x = 1,098.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.