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Finding the Fourth Proportional to 640.41, 959.04 and 408.58

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Solution

The fourth proportional to 640.41, 959.04 and 408.58 is: 611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.41 : 959.04 = 408.58 : x
  2. Step 2: Convert to fraction form
    640.41/959.04 = 408.58/x
  3. Step 3: Cross multiply
    640.41x = 959.04 × 408.58
  4. Step 4: Simplify right side
    640.41x = 391,842.17
  5. Step 5: Solve for x
    x = 391,842.17/640.41
  6. Step 6: Final answer
    x = 611.86

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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.