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Finding the Fourth Proportional to 578.20, 796.24 and 548.12

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Solution

The fourth proportional to 578.20, 796.24 and 548.12 is: 754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 796.24 = 548.12 : x
  2. Step 2: Convert to fraction form
    578.20/796.24 = 548.12/x
  3. Step 3: Cross multiply
    578.20x = 796.24 × 548.12
  4. Step 4: Simplify right side
    578.20x = 436,435.07
  5. Step 5: Solve for x
    x = 436,435.07/578.20
  6. Step 6: Final answer
    x = 754.82

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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.