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Finding the Fourth Proportional to 442.58, 664.29 and 412.43

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Solution

The fourth proportional to 442.58, 664.29 and 412.43 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.58 : 664.29 = 412.43 : x
  2. Step 2: Convert to fraction form
    442.58/664.29 = 412.43/x
  3. Step 3: Cross multiply
    442.58x = 664.29 × 412.43
  4. Step 4: Simplify right side
    442.58x = 273,969.80
  5. Step 5: Solve for x
    x = 273,969.80/442.58
  6. Step 6: Final answer
    x = 619.04

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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.