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Finding the Fourth Proportional to 442.65, 667.29 and 412.92

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Solution

The fourth proportional to 442.65, 667.29 and 412.92 is: 622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 667.29 = 412.92 : x
  2. Step 2: Convert to fraction form
    442.65/667.29 = 412.92/x
  3. Step 3: Cross multiply
    442.65x = 667.29 × 412.92
  4. Step 4: Simplify right side
    442.65x = 275,535.72
  5. Step 5: Solve for x
    x = 275,535.72/442.65
  6. Step 6: Final answer
    x = 622.47

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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.