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Finding the Fourth Proportional to 606.20, 835.89 and 409.37

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Solution

The fourth proportional to 606.20, 835.89 and 409.37 is: 564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.20 : 835.89 = 409.37 : x
  2. Step 2: Convert to fraction form
    606.20/835.89 = 409.37/x
  3. Step 3: Cross multiply
    606.20x = 835.89 × 409.37
  4. Step 4: Simplify right side
    606.20x = 342,190.73
  5. Step 5: Solve for x
    x = 342,190.73/606.20
  6. Step 6: Final answer
    x = 564.48

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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.