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Finding the Fourth Proportional to 442.66, 664.17 and 406.78

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Solution

The fourth proportional to 442.66, 664.17 and 406.78 is: 610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.66 : 664.17 = 406.78 : x
  2. Step 2: Convert to fraction form
    442.66/664.17 = 406.78/x
  3. Step 3: Cross multiply
    442.66x = 664.17 × 406.78
  4. Step 4: Simplify right side
    442.66x = 270,171.07
  5. Step 5: Solve for x
    x = 270,171.07/442.66
  6. Step 6: Final answer
    x = 610.34

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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.