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Finding the Fourth Proportional to 563.26, 843.82 and 319.96

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Solution

The fourth proportional to 563.26, 843.82 and 319.96 is: 479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.26 : 843.82 = 319.96 : x
  2. Step 2: Convert to fraction form
    563.26/843.82 = 319.96/x
  3. Step 3: Cross multiply
    563.26x = 843.82 × 319.96
  4. Step 4: Simplify right side
    563.26x = 269,988.65
  5. Step 5: Solve for x
    x = 269,988.65/563.26
  6. Step 6: Final answer
    x = 479.33

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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.