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Finding the Fourth Proportional to 523.76, 784.80 and 379.56

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Solution

The fourth proportional to 523.76, 784.80 and 379.56 is: 568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 784.80 = 379.56 : x
  2. Step 2: Convert to fraction form
    523.76/784.80 = 379.56/x
  3. Step 3: Cross multiply
    523.76x = 784.80 × 379.56
  4. Step 4: Simplify right side
    523.76x = 297,878.69
  5. Step 5: Solve for x
    x = 297,878.69/523.76
  6. Step 6: Final answer
    x = 568.73

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