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Finding the Fourth Proportional to 442.26, 660.42 and 439.56

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Solution

The fourth proportional to 442.26, 660.42 and 439.56 is: 656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 660.42 = 439.56 : x
  2. Step 2: Convert to fraction form
    442.26/660.42 = 439.56/x
  3. Step 3: Cross multiply
    442.26x = 660.42 × 439.56
  4. Step 4: Simplify right side
    442.26x = 290,294.22
  5. Step 5: Solve for x
    x = 290,294.22/442.26
  6. Step 6: Final answer
    x = 656.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.