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Finding the Fourth Proportional to 1,305.38, 1,958.07 and 483.23

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Solution

The fourth proportional to 1,305.38, 1,958.07 and 483.23 is: 724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.38 : 1,958.07 = 483.23 : x
  2. Step 2: Convert to fraction form
    1,305.38/1,958.07 = 483.23/x
  3. Step 3: Cross multiply
    1,305.38x = 1,958.07 × 483.23
  4. Step 4: Simplify right side
    1,305.38x = 946,198.17
  5. Step 5: Solve for x
    x = 946,198.17/1,305.38
  6. Step 6: Final answer
    x = 724.85

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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.