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Finding the Fourth Proportional to 548.83, 757.31 and 324.75

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Solution

The fourth proportional to 548.83, 757.31 and 324.75 is: 448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.83 : 757.31 = 324.75 : x
  2. Step 2: Convert to fraction form
    548.83/757.31 = 324.75/x
  3. Step 3: Cross multiply
    548.83x = 757.31 × 324.75
  4. Step 4: Simplify right side
    548.83x = 245,936.42
  5. Step 5: Solve for x
    x = 245,936.42/548.83
  6. Step 6: Final answer
    x = 448.11

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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.