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Finding the Fourth Proportional to 636.08, 954.11 and 419.60

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Solution

The fourth proportional to 636.08, 954.11 and 419.60 is: 629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.08 : 954.11 = 419.60 : x
  2. Step 2: Convert to fraction form
    636.08/954.11 = 419.60/x
  3. Step 3: Cross multiply
    636.08x = 954.11 × 419.60
  4. Step 4: Simplify right side
    636.08x = 400,344.56
  5. Step 5: Solve for x
    x = 400,344.56/636.08
  6. Step 6: Final answer
    x = 629.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.