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Finding the Fourth Proportional to 465.75, 642.96 and 319.14

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Solution

The fourth proportional to 465.75, 642.96 and 319.14 is: 440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 642.96 = 319.14 : x
  2. Step 2: Convert to fraction form
    465.75/642.96 = 319.14/x
  3. Step 3: Cross multiply
    465.75x = 642.96 × 319.14
  4. Step 4: Simplify right side
    465.75x = 205,194.25
  5. Step 5: Solve for x
    x = 205,194.25/465.75
  6. Step 6: Final answer
    x = 440.57

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