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Finding the Fourth Proportional to 447.44, 665.38 and 442.64

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Solution

The fourth proportional to 447.44, 665.38 and 442.64 is: 658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.44 : 665.38 = 442.64 : x
  2. Step 2: Convert to fraction form
    447.44/665.38 = 442.64/x
  3. Step 3: Cross multiply
    447.44x = 665.38 × 442.64
  4. Step 4: Simplify right side
    447.44x = 294,523.80
  5. Step 5: Solve for x
    x = 294,523.80/447.44
  6. Step 6: Final answer
    x = 658.24

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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.