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Finding the Fourth Proportional to 772.04, 1,157.22 and 284.68

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Solution

The fourth proportional to 772.04, 1,157.22 and 284.68 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,157.22 = 284.68 : x
  2. Step 2: Convert to fraction form
    772.04/1,157.22 = 284.68/x
  3. Step 3: Cross multiply
    772.04x = 1,157.22 × 284.68
  4. Step 4: Simplify right side
    772.04x = 329,437.39
  5. Step 5: Solve for x
    x = 329,437.39/772.04
  6. Step 6: Final answer
    x = 426.71

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