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Finding the Fourth Proportional to 605.67, 835.63 and 409.29

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Solution

The fourth proportional to 605.67, 835.63 and 409.29 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.67 : 835.63 = 409.29 : x
  2. Step 2: Convert to fraction form
    605.67/835.63 = 409.29/x
  3. Step 3: Cross multiply
    605.67x = 835.63 × 409.29
  4. Step 4: Simplify right side
    605.67x = 342,015.00
  5. Step 5: Solve for x
    x = 342,015.00/605.67
  6. Step 6: Final answer
    x = 564.69

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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.