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Finding the Fourth Proportional to 550.74, 825.92 and 396.20

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Solution

The fourth proportional to 550.74, 825.92 and 396.20 is: 594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.74 : 825.92 = 396.20 : x
  2. Step 2: Convert to fraction form
    550.74/825.92 = 396.20/x
  3. Step 3: Cross multiply
    550.74x = 825.92 × 396.20
  4. Step 4: Simplify right side
    550.74x = 327,229.50
  5. Step 5: Solve for x
    x = 327,229.50/550.74
  6. Step 6: Final answer
    x = 594.16

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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.