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Finding the Fourth Proportional to 640.46, 960.96 and 275.15

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Solution

The fourth proportional to 640.46, 960.96 and 275.15 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.46 : 960.96 = 275.15 : x
  2. Step 2: Convert to fraction form
    640.46/960.96 = 275.15/x
  3. Step 3: Cross multiply
    640.46x = 960.96 × 275.15
  4. Step 4: Simplify right side
    640.46x = 264,403.34
  5. Step 5: Solve for x
    x = 264,403.34/640.46
  6. Step 6: Final answer
    x = 412.84

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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.