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Finding the Fourth Proportional to 716, 1,071.96 and 471.78

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Solution

The fourth proportional to 716, 1,071.96 and 471.78 is: 706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 1,071.96 = 471.78 : x
  2. Step 2: Convert to fraction form
    716/1,071.96 = 471.78/x
  3. Step 3: Cross multiply
    716x = 1,071.96 × 471.78
  4. Step 4: Simplify right side
    716x = 505,729.29
  5. Step 5: Solve for x
    x = 505,729.29/716
  6. Step 6: Final answer
    x = 706.33

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