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Finding the Fourth Proportional to 408.83, 613.17 and 388.31

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Solution

The fourth proportional to 408.83, 613.17 and 388.31 is: 582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.83 : 613.17 = 388.31 : x
  2. Step 2: Convert to fraction form
    408.83/613.17 = 388.31/x
  3. Step 3: Cross multiply
    408.83x = 613.17 × 388.31
  4. Step 4: Simplify right side
    408.83x = 238,100.04
  5. Step 5: Solve for x
    x = 238,100.04/408.83
  6. Step 6: Final answer
    x = 582.39

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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.