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Finding the Fourth Proportional to 1,305.85, 1,958.97 and 381.29

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Solution

The fourth proportional to 1,305.85, 1,958.97 and 381.29 is: 571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.85 : 1,958.97 = 381.29 : x
  2. Step 2: Convert to fraction form
    1,305.85/1,958.97 = 381.29/x
  3. Step 3: Cross multiply
    1,305.85x = 1,958.97 × 381.29
  4. Step 4: Simplify right side
    1,305.85x = 746,935.67
  5. Step 5: Solve for x
    x = 746,935.67/1,305.85
  6. Step 6: Final answer
    x = 571.99

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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.