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Finding the Fourth Proportional to 605.41, 835.72 and 409.19

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Solution

The fourth proportional to 605.41, 835.72 and 409.19 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.41 : 835.72 = 409.19 : x
  2. Step 2: Convert to fraction form
    605.41/835.72 = 409.19/x
  3. Step 3: Cross multiply
    605.41x = 835.72 × 409.19
  4. Step 4: Simplify right side
    605.41x = 341,963.07
  5. Step 5: Solve for x
    x = 341,963.07/605.41
  6. Step 6: Final answer
    x = 564.85

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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.