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Finding the Fourth Proportional to 605.51, 835.34 and 408.68

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Solution

The fourth proportional to 605.51, 835.34 and 408.68 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.51 : 835.34 = 408.68 : x
  2. Step 2: Convert to fraction form
    605.51/835.34 = 408.68/x
  3. Step 3: Cross multiply
    605.51x = 835.34 × 408.68
  4. Step 4: Simplify right side
    605.51x = 341,380.53
  5. Step 5: Solve for x
    x = 341,380.53/605.51
  6. Step 6: Final answer
    x = 563.79

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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.