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Finding the Fourth Proportional to 442.64, 667.82 and 441.42

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Solution

The fourth proportional to 442.64, 667.82 and 441.42 is: 665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.64 : 667.82 = 441.42 : x
  2. Step 2: Convert to fraction form
    442.64/667.82 = 441.42/x
  3. Step 3: Cross multiply
    442.64x = 667.82 × 441.42
  4. Step 4: Simplify right side
    442.64x = 294,789.10
  5. Step 5: Solve for x
    x = 294,789.10/442.64
  6. Step 6: Final answer
    x = 665.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.