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Finding the Fourth Proportional to 2,644.20, 3,966.30 and 696.38

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Solution

The fourth proportional to 2,644.20, 3,966.30 and 696.38 is: 1,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.20 : 3,966.30 = 696.38 : x
  2. Step 2: Convert to fraction form
    2,644.20/3,966.30 = 696.38/x
  3. Step 3: Cross multiply
    2,644.20x = 3,966.30 × 696.38
  4. Step 4: Simplify right side
    2,644.20x = 2,762,032.16
  5. Step 5: Solve for x
    x = 2,762,032.16/2,644.20
  6. Step 6: Final answer
    x = 1,044.56

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Similar ratio
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1.5x scale

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.