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Finding the Fourth Proportional to 639.96, 960.27 and 274.65

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Solution

The fourth proportional to 639.96, 960.27 and 274.65 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.96 : 960.27 = 274.65 : x
  2. Step 2: Convert to fraction form
    639.96/960.27 = 274.65/x
  3. Step 3: Cross multiply
    639.96x = 960.27 × 274.65
  4. Step 4: Simplify right side
    639.96x = 263,738.16
  5. Step 5: Solve for x
    x = 263,738.16/639.96
  6. Step 6: Final answer
    x = 412.12

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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.