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Finding the Fourth Proportional to 606.20, 836.41 and 385.43

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Solution

The fourth proportional to 606.20, 836.41 and 385.43 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.20 : 836.41 = 385.43 : x
  2. Step 2: Convert to fraction form
    606.20/836.41 = 385.43/x
  3. Step 3: Cross multiply
    606.20x = 836.41 × 385.43
  4. Step 4: Simplify right side
    606.20x = 322,377.51
  5. Step 5: Solve for x
    x = 322,377.51/606.20
  6. Step 6: Final answer
    x = 531.80

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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.