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Finding the Fourth Proportional to 533.22, 799.76 and 327.42

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Solution

The fourth proportional to 533.22, 799.76 and 327.42 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.22 : 799.76 = 327.42 : x
  2. Step 2: Convert to fraction form
    533.22/799.76 = 327.42/x
  3. Step 3: Cross multiply
    533.22x = 799.76 × 327.42
  4. Step 4: Simplify right side
    533.22x = 261,861.24
  5. Step 5: Solve for x
    x = 261,861.24/533.22
  6. Step 6: Final answer
    x = 491.09

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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.