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Finding the Fourth Proportional to 1,469.52, 2,027.81 and 806.36

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Solution

The fourth proportional to 1,469.52, 2,027.81 and 806.36 is: 1,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.52 : 2,027.81 = 806.36 : x
  2. Step 2: Convert to fraction form
    1,469.52/2,027.81 = 806.36/x
  3. Step 3: Cross multiply
    1,469.52x = 2,027.81 × 806.36
  4. Step 4: Simplify right side
    1,469.52x = 1,635,136.75
  5. Step 5: Solve for x
    x = 1,635,136.75/1,469.52
  6. Step 6: Final answer
    x = 1,112.70

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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.