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Finding the Fourth Proportional to 579.52, 799.60 and 327.40

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Solution

The fourth proportional to 579.52, 799.60 and 327.40 is: 451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.52 : 799.60 = 327.40 : x
  2. Step 2: Convert to fraction form
    579.52/799.60 = 327.40/x
  3. Step 3: Cross multiply
    579.52x = 799.60 × 327.40
  4. Step 4: Simplify right side
    579.52x = 261,789.04
  5. Step 5: Solve for x
    x = 261,789.04/579.52
  6. Step 6: Final answer
    x = 451.73

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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.