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Finding the Fourth Proportional to 447.09, 664.96 and 442.23

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Solution

The fourth proportional to 447.09, 664.96 and 442.23 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.09 : 664.96 = 442.23 : x
  2. Step 2: Convert to fraction form
    447.09/664.96 = 442.23/x
  3. Step 3: Cross multiply
    447.09x = 664.96 × 442.23
  4. Step 4: Simplify right side
    447.09x = 294,062.49
  5. Step 5: Solve for x
    x = 294,062.49/447.09
  6. Step 6: Final answer
    x = 657.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.