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Finding the Fourth Proportional to 1,309.76, 1,963.20 and 443.42

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Solution

The fourth proportional to 1,309.76, 1,963.20 and 443.42 is: 664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.76 : 1,963.20 = 443.42 : x
  2. Step 2: Convert to fraction form
    1,309.76/1,963.20 = 443.42/x
  3. Step 3: Cross multiply
    1,309.76x = 1,963.20 × 443.42
  4. Step 4: Simplify right side
    1,309.76x = 870,522.14
  5. Step 5: Solve for x
    x = 870,522.14/1,309.76
  6. Step 6: Final answer
    x = 664.64

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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.