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Finding the Fourth Proportional to 1,371.07, 2,057.24 and 641.13

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Solution

The fourth proportional to 1,371.07, 2,057.24 and 641.13 is: 961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.07 : 2,057.24 = 641.13 : x
  2. Step 2: Convert to fraction form
    1,371.07/2,057.24 = 641.13/x
  3. Step 3: Cross multiply
    1,371.07x = 2,057.24 × 641.13
  4. Step 4: Simplify right side
    1,371.07x = 1,318,958.28
  5. Step 5: Solve for x
    x = 1,318,958.28/1,371.07
  6. Step 6: Final answer
    x = 961.99

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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.