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Finding the Fourth Proportional to 443.58, 664.38 and 412.26

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Solution

The fourth proportional to 443.58, 664.38 and 412.26 is: 617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.58 : 664.38 = 412.26 : x
  2. Step 2: Convert to fraction form
    443.58/664.38 = 412.26/x
  3. Step 3: Cross multiply
    443.58x = 664.38 × 412.26
  4. Step 4: Simplify right side
    443.58x = 273,897.30
  5. Step 5: Solve for x
    x = 273,897.30/443.58
  6. Step 6: Final answer
    x = 617.47

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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.