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Finding the Fourth Proportional to 2,588.39, 3,882.53 and 640.61

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Solution

The fourth proportional to 2,588.39, 3,882.53 and 640.61 is: 960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.39 : 3,882.53 = 640.61 : x
  2. Step 2: Convert to fraction form
    2,588.39/3,882.53 = 640.61/x
  3. Step 3: Cross multiply
    2,588.39x = 3,882.53 × 640.61
  4. Step 4: Simplify right side
    2,588.39x = 2,487,184.29
  5. Step 5: Solve for x
    x = 2,487,184.29/2,588.39
  6. Step 6: Final answer
    x = 960.90

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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.