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Finding the Fourth Proportional to 513.84, 709.10 and 280.97

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Solution

The fourth proportional to 513.84, 709.10 and 280.97 is: 387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 709.10 = 280.97 : x
  2. Step 2: Convert to fraction form
    513.84/709.10 = 280.97/x
  3. Step 3: Cross multiply
    513.84x = 709.10 × 280.97
  4. Step 4: Simplify right side
    513.84x = 199,236.17
  5. Step 5: Solve for x
    x = 199,236.17/513.84
  6. Step 6: Final answer
    x = 387.74

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