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Finding the Fourth Proportional to 563.92, 843.46 and 408.08

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Solution

The fourth proportional to 563.92, 843.46 and 408.08 is: 610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.92 : 843.46 = 408.08 : x
  2. Step 2: Convert to fraction form
    563.92/843.46 = 408.08/x
  3. Step 3: Cross multiply
    563.92x = 843.46 × 408.08
  4. Step 4: Simplify right side
    563.92x = 344,199.16
  5. Step 5: Solve for x
    x = 344,199.16/563.92
  6. Step 6: Final answer
    x = 610.37

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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.