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Finding the Fourth Proportional to 639.96, 960.22 and 274.66

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Solution

The fourth proportional to 639.96, 960.22 and 274.66 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.96 : 960.22 = 274.66 : x
  2. Step 2: Convert to fraction form
    639.96/960.22 = 274.66/x
  3. Step 3: Cross multiply
    639.96x = 960.22 × 274.66
  4. Step 4: Simplify right side
    639.96x = 263,734.03
  5. Step 5: Solve for x
    x = 263,734.03/639.96
  6. Step 6: Final answer
    x = 412.11

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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.