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Finding the Fourth Proportional to 523.84, 784.48 and 306.76

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Solution

The fourth proportional to 523.84, 784.48 and 306.76 is: 459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 784.48 = 306.76 : x
  2. Step 2: Convert to fraction form
    523.84/784.48 = 306.76/x
  3. Step 3: Cross multiply
    523.84x = 784.48 × 306.76
  4. Step 4: Simplify right side
    523.84x = 240,647.08
  5. Step 5: Solve for x
    x = 240,647.08/523.84
  6. Step 6: Final answer
    x = 459.39

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