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Finding the Fourth Proportional to 636.94, 954.87 and 419.86

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Solution

The fourth proportional to 636.94, 954.87 and 419.86 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.94 : 954.87 = 419.86 : x
  2. Step 2: Convert to fraction form
    636.94/954.87 = 419.86/x
  3. Step 3: Cross multiply
    636.94x = 954.87 × 419.86
  4. Step 4: Simplify right side
    636.94x = 400,911.72
  5. Step 5: Solve for x
    x = 400,911.72/636.94
  6. Step 6: Final answer
    x = 629.43

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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.