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Finding the Fourth Proportional to 796.03, 1,192.71 and 563.80

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Solution

The fourth proportional to 796.03, 1,192.71 and 563.80 is: 844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.03 : 1,192.71 = 563.80 : x
  2. Step 2: Convert to fraction form
    796.03/1,192.71 = 563.80/x
  3. Step 3: Cross multiply
    796.03x = 1,192.71 × 563.80
  4. Step 4: Simplify right side
    796.03x = 672,449.03
  5. Step 5: Solve for x
    x = 672,449.03/796.03
  6. Step 6: Final answer
    x = 844.75

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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.