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Finding the Fourth Proportional to 640.60, 960.83 and 467.61

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Solution

The fourth proportional to 640.60, 960.83 and 467.61 is: 701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.60 : 960.83 = 467.61 : x
  2. Step 2: Convert to fraction form
    640.60/960.83 = 467.61/x
  3. Step 3: Cross multiply
    640.60x = 960.83 × 467.61
  4. Step 4: Simplify right side
    640.60x = 449,292.16
  5. Step 5: Solve for x
    x = 449,292.16/640.60
  6. Step 6: Final answer
    x = 701.36

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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.