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Finding the Fourth Proportional to 493.09, 679.61 and 327.00

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Solution

The fourth proportional to 493.09, 679.61 and 327.00 is: 450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.09 : 679.61 = 327.00 : x
  2. Step 2: Convert to fraction form
    493.09/679.61 = 327.00/x
  3. Step 3: Cross multiply
    493.09x = 679.61 × 327.00
  4. Step 4: Simplify right side
    493.09x = 222,234.00
  5. Step 5: Solve for x
    x = 222,234.00/493.09
  6. Step 6: Final answer
    x = 450.70

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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.