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Finding the Fourth Proportional to 408.57, 608.42 and 399

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Solution

The fourth proportional to 408.57, 608.42 and 399 is: 594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 608.42 = 399 : x
  2. Step 2: Convert to fraction form
    408.57/608.42 = 399/x
  3. Step 3: Cross multiply
    408.57x = 608.42 × 399
  4. Step 4: Simplify right side
    408.57x = 242,759.58
  5. Step 5: Solve for x
    x = 242,759.58/408.57
  6. Step 6: Final answer
    x = 594.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.