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Finding the Fourth Proportional to 1,533.22, 2,299.82 and 1,478.54

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Solution

The fourth proportional to 1,533.22, 2,299.82 and 1,478.54 is: 2,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.22 : 2,299.82 = 1,478.54 : x
  2. Step 2: Convert to fraction form
    1,533.22/2,299.82 = 1,478.54/x
  3. Step 3: Cross multiply
    1,533.22x = 2,299.82 × 1,478.54
  4. Step 4: Simplify right side
    1,533.22x = 3,400,375.86
  5. Step 5: Solve for x
    x = 3,400,375.86/1,533.22
  6. Step 6: Final answer
    x = 2,217.80

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