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Finding the Fourth Proportional to 548.54, 757.02 and 327.50

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Solution

The fourth proportional to 548.54, 757.02 and 327.50 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 757.02 = 327.50 : x
  2. Step 2: Convert to fraction form
    548.54/757.02 = 327.50/x
  3. Step 3: Cross multiply
    548.54x = 757.02 × 327.50
  4. Step 4: Simplify right side
    548.54x = 247,924.05
  5. Step 5: Solve for x
    x = 247,924.05/548.54
  6. Step 6: Final answer
    x = 451.97

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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.