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Finding the Fourth Proportional to 552.09, 827.21 and 388.98

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Solution

The fourth proportional to 552.09, 827.21 and 388.98 is: 582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.09 : 827.21 = 388.98 : x
  2. Step 2: Convert to fraction form
    552.09/827.21 = 388.98/x
  3. Step 3: Cross multiply
    552.09x = 827.21 × 388.98
  4. Step 4: Simplify right side
    552.09x = 321,766.20
  5. Step 5: Solve for x
    x = 321,766.20/552.09
  6. Step 6: Final answer
    x = 582.81

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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.