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Finding the Fourth Proportional to 533.72, 799.41 and 327.67

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Solution

The fourth proportional to 533.72, 799.41 and 327.67 is: 490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 799.41 = 327.67 : x
  2. Step 2: Convert to fraction form
    533.72/799.41 = 327.67/x
  3. Step 3: Cross multiply
    533.72x = 799.41 × 327.67
  4. Step 4: Simplify right side
    533.72x = 261,942.67
  5. Step 5: Solve for x
    x = 261,942.67/533.72
  6. Step 6: Final answer
    x = 490.79

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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.