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Finding the Fourth Proportional to 896.26, 1,344.23 and 409.19

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Solution

The fourth proportional to 896.26, 1,344.23 and 409.19 is: 613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.26 : 1,344.23 = 409.19 : x
  2. Step 2: Convert to fraction form
    896.26/1,344.23 = 409.19/x
  3. Step 3: Cross multiply
    896.26x = 1,344.23 × 409.19
  4. Step 4: Simplify right side
    896.26x = 550,049.86
  5. Step 5: Solve for x
    x = 550,049.86/896.26
  6. Step 6: Final answer
    x = 613.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.