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Finding the Fourth Proportional to 548.24, 817.13 and 517.48

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Solution

The fourth proportional to 548.24, 817.13 and 517.48 is: 771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 817.13 = 517.48 : x
  2. Step 2: Convert to fraction form
    548.24/817.13 = 517.48/x
  3. Step 3: Cross multiply
    548.24x = 817.13 × 517.48
  4. Step 4: Simplify right side
    548.24x = 422,847.68
  5. Step 5: Solve for x
    x = 422,847.68/548.24
  6. Step 6: Final answer
    x = 771.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.