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Finding the Fourth Proportional to 605.16, 834.92 and 339.56

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Solution

The fourth proportional to 605.16, 834.92 and 339.56 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 834.92 = 339.56 : x
  2. Step 2: Convert to fraction form
    605.16/834.92 = 339.56/x
  3. Step 3: Cross multiply
    605.16x = 834.92 × 339.56
  4. Step 4: Simplify right side
    605.16x = 283,508.37
  5. Step 5: Solve for x
    x = 283,508.37/605.16
  6. Step 6: Final answer
    x = 468.48

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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.