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Finding the Fourth Proportional to 408.28, 608.03 and 405.94

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Solution

The fourth proportional to 408.28, 608.03 and 405.94 is: 604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.28 : 608.03 = 405.94 : x
  2. Step 2: Convert to fraction form
    408.28/608.03 = 405.94/x
  3. Step 3: Cross multiply
    408.28x = 608.03 × 405.94
  4. Step 4: Simplify right side
    408.28x = 246,823.70
  5. Step 5: Solve for x
    x = 246,823.70/408.28
  6. Step 6: Final answer
    x = 604.55

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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.