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Finding the Fourth Proportional to 1,469.85, 2,201.58 and 920.97

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Solution

The fourth proportional to 1,469.85, 2,201.58 and 920.97 is: 1,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.85 : 2,201.58 = 920.97 : x
  2. Step 2: Convert to fraction form
    1,469.85/2,201.58 = 920.97/x
  3. Step 3: Cross multiply
    1,469.85x = 2,201.58 × 920.97
  4. Step 4: Simplify right side
    1,469.85x = 2,027,589.13
  5. Step 5: Solve for x
    x = 2,027,589.13/1,469.85
  6. Step 6: Final answer
    x = 1,379.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.