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Finding the Fourth Proportional to 481.92, 664.59 and 341.79

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Solution

The fourth proportional to 481.92, 664.59 and 341.79 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 664.59 = 341.79 : x
  2. Step 2: Convert to fraction form
    481.92/664.59 = 341.79/x
  3. Step 3: Cross multiply
    481.92x = 664.59 × 341.79
  4. Step 4: Simplify right side
    481.92x = 227,150.22
  5. Step 5: Solve for x
    x = 227,150.22/481.92
  6. Step 6: Final answer
    x = 471.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.