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Finding the Fourth Proportional to 605.16, 834.66 and 398.44

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Solution

The fourth proportional to 605.16, 834.66 and 398.44 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 834.66 = 398.44 : x
  2. Step 2: Convert to fraction form
    605.16/834.66 = 398.44/x
  3. Step 3: Cross multiply
    605.16x = 834.66 × 398.44
  4. Step 4: Simplify right side
    605.16x = 332,561.93
  5. Step 5: Solve for x
    x = 332,561.93/605.16
  6. Step 6: Final answer
    x = 549.54

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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.