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Finding the Fourth Proportional to 1,469.48, 2,027.84 and 806.31

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Solution

The fourth proportional to 1,469.48, 2,027.84 and 806.31 is: 1,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.48 : 2,027.84 = 806.31 : x
  2. Step 2: Convert to fraction form
    1,469.48/2,027.84 = 806.31/x
  3. Step 3: Cross multiply
    1,469.48x = 2,027.84 × 806.31
  4. Step 4: Simplify right side
    1,469.48x = 1,635,067.67
  5. Step 5: Solve for x
    x = 1,635,067.67/1,469.48
  6. Step 6: Final answer
    x = 1,112.68

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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.