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Finding the Fourth Proportional to 605.48, 835.89 and 409.34

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Solution

The fourth proportional to 605.48, 835.89 and 409.34 is: 565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.48 : 835.89 = 409.34 : x
  2. Step 2: Convert to fraction form
    605.48/835.89 = 409.34/x
  3. Step 3: Cross multiply
    605.48x = 835.89 × 409.34
  4. Step 4: Simplify right side
    605.48x = 342,163.21
  5. Step 5: Solve for x
    x = 342,163.21/605.48
  6. Step 6: Final answer
    x = 565.11

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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.