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Finding the Fourth Proportional to 550.30, 825.48 and 395.80

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Solution

The fourth proportional to 550.30, 825.48 and 395.80 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.30 : 825.48 = 395.80 : x
  2. Step 2: Convert to fraction form
    550.30/825.48 = 395.80/x
  3. Step 3: Cross multiply
    550.30x = 825.48 × 395.80
  4. Step 4: Simplify right side
    550.30x = 326,724.98
  5. Step 5: Solve for x
    x = 326,724.98/550.30
  6. Step 6: Final answer
    x = 593.72

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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.