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Finding the Fourth Proportional to 606.82, 838.11 and 441.77

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Solution

The fourth proportional to 606.82, 838.11 and 441.77 is: 610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.82 : 838.11 = 441.77 : x
  2. Step 2: Convert to fraction form
    606.82/838.11 = 441.77/x
  3. Step 3: Cross multiply
    606.82x = 838.11 × 441.77
  4. Step 4: Simplify right side
    606.82x = 370,251.85
  5. Step 5: Solve for x
    x = 370,251.85/606.82
  6. Step 6: Final answer
    x = 610.15

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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.