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Finding the Fourth Proportional to 605.87, 835.77 and 395.78

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Solution

The fourth proportional to 605.87, 835.77 and 395.78 is: 545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.87 : 835.77 = 395.78 : x
  2. Step 2: Convert to fraction form
    605.87/835.77 = 395.78/x
  3. Step 3: Cross multiply
    605.87x = 835.77 × 395.78
  4. Step 4: Simplify right side
    605.87x = 330,781.05
  5. Step 5: Solve for x
    x = 330,781.05/605.87
  6. Step 6: Final answer
    x = 545.96

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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.