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Finding the Fourth Proportional to 506.80, 760.36 and 314.56

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Solution

The fourth proportional to 506.80, 760.36 and 314.56 is: 471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 760.36 = 314.56 : x
  2. Step 2: Convert to fraction form
    506.80/760.36 = 314.56/x
  3. Step 3: Cross multiply
    506.80x = 760.36 × 314.56
  4. Step 4: Simplify right side
    506.80x = 239,178.84
  5. Step 5: Solve for x
    x = 239,178.84/506.80
  6. Step 6: Final answer
    x = 471.94

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