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Finding the Fourth Proportional to 509.93, 703.74 and 288.92

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Solution

The fourth proportional to 509.93, 703.74 and 288.92 is: 398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 703.74 = 288.92 : x
  2. Step 2: Convert to fraction form
    509.93/703.74 = 288.92/x
  3. Step 3: Cross multiply
    509.93x = 703.74 × 288.92
  4. Step 4: Simplify right side
    509.93x = 203,321.04
  5. Step 5: Solve for x
    x = 203,321.04/509.93
  6. Step 6: Final answer
    x = 398.73

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