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Finding the Fourth Proportional to 490.86, 677.82 and 408.85

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Solution

The fourth proportional to 490.86, 677.82 and 408.85 is: 564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 677.82 = 408.85 : x
  2. Step 2: Convert to fraction form
    490.86/677.82 = 408.85/x
  3. Step 3: Cross multiply
    490.86x = 677.82 × 408.85
  4. Step 4: Simplify right side
    490.86x = 277,124.25
  5. Step 5: Solve for x
    x = 277,124.25/490.86
  6. Step 6: Final answer
    x = 564.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.