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Finding the Fourth Proportional to 1,305.75, 1,958.33 and 381.07

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Solution

The fourth proportional to 1,305.75, 1,958.33 and 381.07 is: 571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.75 : 1,958.33 = 381.07 : x
  2. Step 2: Convert to fraction form
    1,305.75/1,958.33 = 381.07/x
  3. Step 3: Cross multiply
    1,305.75x = 1,958.33 × 381.07
  4. Step 4: Simplify right side
    1,305.75x = 746,256.87
  5. Step 5: Solve for x
    x = 746,256.87/1,305.75
  6. Step 6: Final answer
    x = 571.52

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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.