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Finding the Fourth Proportional to 1,306.70, 1,959.84 and 441.21

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Solution

The fourth proportional to 1,306.70, 1,959.84 and 441.21 is: 661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.70 : 1,959.84 = 441.21 : x
  2. Step 2: Convert to fraction form
    1,306.70/1,959.84 = 441.21/x
  3. Step 3: Cross multiply
    1,306.70x = 1,959.84 × 441.21
  4. Step 4: Simplify right side
    1,306.70x = 864,701.01
  5. Step 5: Solve for x
    x = 864,701.01/1,306.70
  6. Step 6: Final answer
    x = 661.75

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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.