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Finding the Fourth Proportional to 868.71, 1,198.83 and 475.75

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Solution

The fourth proportional to 868.71, 1,198.83 and 475.75 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.71 : 1,198.83 = 475.75 : x
  2. Step 2: Convert to fraction form
    868.71/1,198.83 = 475.75/x
  3. Step 3: Cross multiply
    868.71x = 1,198.83 × 475.75
  4. Step 4: Simplify right side
    868.71x = 570,343.37
  5. Step 5: Solve for x
    x = 570,343.37/868.71
  6. Step 6: Final answer
    x = 656.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.