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Finding the Fourth Proportional to 493.89, 680.94 and 327.72

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Solution

The fourth proportional to 493.89, 680.94 and 327.72 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.89 : 680.94 = 327.72 : x
  2. Step 2: Convert to fraction form
    493.89/680.94 = 327.72/x
  3. Step 3: Cross multiply
    493.89x = 680.94 × 327.72
  4. Step 4: Simplify right side
    493.89x = 223,157.66
  5. Step 5: Solve for x
    x = 223,157.66/493.89
  6. Step 6: Final answer
    x = 451.84

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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.