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Finding the Fourth Proportional to 447.22, 669.89 and 284.09

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Solution

The fourth proportional to 447.22, 669.89 and 284.09 is: 425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.22 : 669.89 = 284.09 : x
  2. Step 2: Convert to fraction form
    447.22/669.89 = 284.09/x
  3. Step 3: Cross multiply
    447.22x = 669.89 × 284.09
  4. Step 4: Simplify right side
    447.22x = 190,309.05
  5. Step 5: Solve for x
    x = 190,309.05/447.22
  6. Step 6: Final answer
    x = 425.54

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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.