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Finding the Fourth Proportional to 2,588.67, 3,882.94 and 640.89

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Solution

The fourth proportional to 2,588.67, 3,882.94 and 640.89 is: 961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.67 : 3,882.94 = 640.89 : x
  2. Step 2: Convert to fraction form
    2,588.67/3,882.94 = 640.89/x
  3. Step 3: Cross multiply
    2,588.67x = 3,882.94 × 640.89
  4. Step 4: Simplify right side
    2,588.67x = 2,488,537.42
  5. Step 5: Solve for x
    x = 2,488,537.42/2,588.67
  6. Step 6: Final answer
    x = 961.32

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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.