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Finding the Fourth Proportional to 605.63, 835.51 and 408.80

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Solution

The fourth proportional to 605.63, 835.51 and 408.80 is: 563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.63 : 835.51 = 408.80 : x
  2. Step 2: Convert to fraction form
    605.63/835.51 = 408.80/x
  3. Step 3: Cross multiply
    605.63x = 835.51 × 408.80
  4. Step 4: Simplify right side
    605.63x = 341,556.49
  5. Step 5: Solve for x
    x = 341,556.49/605.63
  6. Step 6: Final answer
    x = 563.97

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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.