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Finding the Fourth Proportional to 440.88, 662.42 and 412.20

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Solution

The fourth proportional to 440.88, 662.42 and 412.20 is: 619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.88 : 662.42 = 412.20 : x
  2. Step 2: Convert to fraction form
    440.88/662.42 = 412.20/x
  3. Step 3: Cross multiply
    440.88x = 662.42 × 412.20
  4. Step 4: Simplify right side
    440.88x = 273,049.52
  5. Step 5: Solve for x
    x = 273,049.52/440.88
  6. Step 6: Final answer
    x = 619.33

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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.