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Finding the Fourth Proportional to 605.39, 834.84 and 395.75

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Solution

The fourth proportional to 605.39, 834.84 and 395.75 is: 545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.39 : 834.84 = 395.75 : x
  2. Step 2: Convert to fraction form
    605.39/834.84 = 395.75/x
  3. Step 3: Cross multiply
    605.39x = 834.84 × 395.75
  4. Step 4: Simplify right side
    605.39x = 330,383.76
  5. Step 5: Solve for x
    x = 330,383.76/605.39
  6. Step 6: Final answer
    x = 545.74

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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.