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Finding the Fourth Proportional to 1,469.44, 2,204.40 and 443.68

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Solution

The fourth proportional to 1,469.44, 2,204.40 and 443.68 is: 665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.44 : 2,204.40 = 443.68 : x
  2. Step 2: Convert to fraction form
    1,469.44/2,204.40 = 443.68/x
  3. Step 3: Cross multiply
    1,469.44x = 2,204.40 × 443.68
  4. Step 4: Simplify right side
    1,469.44x = 978,048.19
  5. Step 5: Solve for x
    x = 978,048.19/1,469.44
  6. Step 6: Final answer
    x = 665.59

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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.