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Finding the Fourth Proportional to 551.09, 825.71 and 396.78

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Solution

The fourth proportional to 551.09, 825.71 and 396.78 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.09 : 825.71 = 396.78 : x
  2. Step 2: Convert to fraction form
    551.09/825.71 = 396.78/x
  3. Step 3: Cross multiply
    551.09x = 825.71 × 396.78
  4. Step 4: Simplify right side
    551.09x = 327,625.21
  5. Step 5: Solve for x
    x = 327,625.21/551.09
  6. Step 6: Final answer
    x = 594.50

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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.