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Finding the Fourth Proportional to 408.70, 613.05 and 403.30

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Solution

The fourth proportional to 408.70, 613.05 and 403.30 is: 604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.70 : 613.05 = 403.30 : x
  2. Step 2: Convert to fraction form
    408.70/613.05 = 403.30/x
  3. Step 3: Cross multiply
    408.70x = 613.05 × 403.30
  4. Step 4: Simplify right side
    408.70x = 247,243.07
  5. Step 5: Solve for x
    x = 247,243.07/408.70
  6. Step 6: Final answer
    x = 604.95

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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.