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Finding the Fourth Proportional to 1,469.01, 2,027.23 and 805.85

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Solution

The fourth proportional to 1,469.01, 2,027.23 and 805.85 is: 1,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.01 : 2,027.23 = 805.85 : x
  2. Step 2: Convert to fraction form
    1,469.01/2,027.23 = 805.85/x
  3. Step 3: Cross multiply
    1,469.01x = 2,027.23 × 805.85
  4. Step 4: Simplify right side
    1,469.01x = 1,633,631.14
  5. Step 5: Solve for x
    x = 1,633,631.14/1,469.01
  6. Step 6: Final answer
    x = 1,112.06

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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.