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Finding the Fourth Proportional to 548.88, 755.43 and 524.27

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Solution

The fourth proportional to 548.88, 755.43 and 524.27 is: 721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 755.43 = 524.27 : x
  2. Step 2: Convert to fraction form
    548.88/755.43 = 524.27/x
  3. Step 3: Cross multiply
    548.88x = 755.43 × 524.27
  4. Step 4: Simplify right side
    548.88x = 396,049.21
  5. Step 5: Solve for x
    x = 396,049.21/548.88
  6. Step 6: Final answer
    x = 721.56

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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.