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Finding the Fourth Proportional to 2,644.03, 3,965.73 and 696.38

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Solution

The fourth proportional to 2,644.03, 3,965.73 and 696.38 is: 1,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.03 : 3,965.73 = 696.38 : x
  2. Step 2: Convert to fraction form
    2,644.03/3,965.73 = 696.38/x
  3. Step 3: Cross multiply
    2,644.03x = 3,965.73 × 696.38
  4. Step 4: Simplify right side
    2,644.03x = 2,761,651.58
  5. Step 5: Solve for x
    x = 2,761,651.58/2,644.03
  6. Step 6: Final answer
    x = 1,044.49

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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.