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Finding the Fourth Proportional to 551.90, 827.88 and 408.56

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Solution

The fourth proportional to 551.90, 827.88 and 408.56 is: 612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 827.88 = 408.56 : x
  2. Step 2: Convert to fraction form
    551.90/827.88 = 408.56/x
  3. Step 3: Cross multiply
    551.90x = 827.88 × 408.56
  4. Step 4: Simplify right side
    551.90x = 338,238.65
  5. Step 5: Solve for x
    x = 338,238.65/551.90
  6. Step 6: Final answer
    x = 612.86

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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.