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Finding the Fourth Proportional to 775.42, 1,163.13 and 198.25

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Solution

The fourth proportional to 775.42, 1,163.13 and 198.25 is: 297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,163.13 = 198.25 : x
  2. Step 2: Convert to fraction form
    775.42/1,163.13 = 198.25/x
  3. Step 3: Cross multiply
    775.42x = 1,163.13 × 198.25
  4. Step 4: Simplify right side
    775.42x = 230,590.52
  5. Step 5: Solve for x
    x = 230,590.52/775.42
  6. Step 6: Final answer
    x = 297.38

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