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Finding the Fourth Proportional to 548.15, 823.42 and 523.38

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Solution

The fourth proportional to 548.15, 823.42 and 523.38 is: 786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.15 : 823.42 = 523.38 : x
  2. Step 2: Convert to fraction form
    548.15/823.42 = 523.38/x
  3. Step 3: Cross multiply
    548.15x = 823.42 × 523.38
  4. Step 4: Simplify right side
    548.15x = 430,961.56
  5. Step 5: Solve for x
    x = 430,961.56/548.15
  6. Step 6: Final answer
    x = 786.21

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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.