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Finding the Fourth Proportional to 481.86, 723.24 and 319.71

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Solution

The fourth proportional to 481.86, 723.24 and 319.71 is: 479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.86 : 723.24 = 319.71 : x
  2. Step 2: Convert to fraction form
    481.86/723.24 = 319.71/x
  3. Step 3: Cross multiply
    481.86x = 723.24 × 319.71
  4. Step 4: Simplify right side
    481.86x = 231,227.06
  5. Step 5: Solve for x
    x = 231,227.06/481.86
  6. Step 6: Final answer
    x = 479.86

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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.