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Finding the Fourth Proportional to 548.56, 824.67 and 441.03

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Solution

The fourth proportional to 548.56, 824.67 and 441.03 is: 663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 824.67 = 441.03 : x
  2. Step 2: Convert to fraction form
    548.56/824.67 = 441.03/x
  3. Step 3: Cross multiply
    548.56x = 824.67 × 441.03
  4. Step 4: Simplify right side
    548.56x = 363,704.21
  5. Step 5: Solve for x
    x = 363,704.21/548.56
  6. Step 6: Final answer
    x = 663.02

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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.