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Finding the Fourth Proportional to 605.97, 836.31 and 357.28

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Solution

The fourth proportional to 605.97, 836.31 and 357.28 is: 493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.97 : 836.31 = 357.28 : x
  2. Step 2: Convert to fraction form
    605.97/836.31 = 357.28/x
  3. Step 3: Cross multiply
    605.97x = 836.31 × 357.28
  4. Step 4: Simplify right side
    605.97x = 298,796.54
  5. Step 5: Solve for x
    x = 298,796.54/605.97
  6. Step 6: Final answer
    x = 493.09

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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.