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Finding the Fourth Proportional to 605.79, 835.97 and 343.83

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Solution

The fourth proportional to 605.79, 835.97 and 343.83 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.79 : 835.97 = 343.83 : x
  2. Step 2: Convert to fraction form
    605.79/835.97 = 343.83/x
  3. Step 3: Cross multiply
    605.79x = 835.97 × 343.83
  4. Step 4: Simplify right side
    605.79x = 287,429.85
  5. Step 5: Solve for x
    x = 287,429.85/605.79
  6. Step 6: Final answer
    x = 474.47

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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.