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Finding the Fourth Proportional to 442.54, 660.65 and 439.48

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Solution

The fourth proportional to 442.54, 660.65 and 439.48 is: 656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.54 : 660.65 = 439.48 : x
  2. Step 2: Convert to fraction form
    442.54/660.65 = 439.48/x
  3. Step 3: Cross multiply
    442.54x = 660.65 × 439.48
  4. Step 4: Simplify right side
    442.54x = 290,342.46
  5. Step 5: Solve for x
    x = 290,342.46/442.54
  6. Step 6: Final answer
    x = 656.08

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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.