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Finding the Fourth Proportional to 1,306.80, 1,960.36 and 441.36

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Solution

The fourth proportional to 1,306.80, 1,960.36 and 441.36 is: 662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.80 : 1,960.36 = 441.36 : x
  2. Step 2: Convert to fraction form
    1,306.80/1,960.36 = 441.36/x
  3. Step 3: Cross multiply
    1,306.80x = 1,960.36 × 441.36
  4. Step 4: Simplify right side
    1,306.80x = 865,224.49
  5. Step 5: Solve for x
    x = 865,224.49/1,306.80
  6. Step 6: Final answer
    x = 662.09

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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.