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Finding the Fourth Proportional to 613.43, 919.31 and 324.29

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Solution

The fourth proportional to 613.43, 919.31 and 324.29 is: 485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.43 : 919.31 = 324.29 : x
  2. Step 2: Convert to fraction form
    613.43/919.31 = 324.29/x
  3. Step 3: Cross multiply
    613.43x = 919.31 × 324.29
  4. Step 4: Simplify right side
    613.43x = 298,121.42
  5. Step 5: Solve for x
    x = 298,121.42/613.43
  6. Step 6: Final answer
    x = 485.99

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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.