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Finding the Fourth Proportional to 472.16, 706.64 and 289.68

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Solution

The fourth proportional to 472.16, 706.64 and 289.68 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 706.64 = 289.68 : x
  2. Step 2: Convert to fraction form
    472.16/706.64 = 289.68/x
  3. Step 3: Cross multiply
    472.16x = 706.64 × 289.68
  4. Step 4: Simplify right side
    472.16x = 204,698.03
  5. Step 5: Solve for x
    x = 204,698.03/472.16
  6. Step 6: Final answer
    x = 433.54

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