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Finding the Fourth Proportional to 456, 684.16 and 420.48

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Solution

The fourth proportional to 456, 684.16 and 420.48 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 684.16 = 420.48 : x
  2. Step 2: Convert to fraction form
    456/684.16 = 420.48/x
  3. Step 3: Cross multiply
    456x = 684.16 × 420.48
  4. Step 4: Simplify right side
    456x = 287,675.60
  5. Step 5: Solve for x
    x = 287,675.60/456
  6. Step 6: Final answer
    x = 630.87

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