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Finding the Fourth Proportional to 1,469.05, 2,027.34 and 805.93

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Solution

The fourth proportional to 1,469.05, 2,027.34 and 805.93 is: 1,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.05 : 2,027.34 = 805.93 : x
  2. Step 2: Convert to fraction form
    1,469.05/2,027.34 = 805.93/x
  3. Step 3: Cross multiply
    1,469.05x = 2,027.34 × 805.93
  4. Step 4: Simplify right side
    1,469.05x = 1,633,894.13
  5. Step 5: Solve for x
    x = 1,633,894.13/1,469.05
  6. Step 6: Final answer
    x = 1,112.21

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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.