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Finding the Fourth Proportional to 1,963.32, 2,944.97 and 664.75

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Solution

The fourth proportional to 1,963.32, 2,944.97 and 664.75 is: 997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.32 : 2,944.97 = 664.75 : x
  2. Step 2: Convert to fraction form
    1,963.32/2,944.97 = 664.75/x
  3. Step 3: Cross multiply
    1,963.32x = 2,944.97 × 664.75
  4. Step 4: Simplify right side
    1,963.32x = 1,957,668.81
  5. Step 5: Solve for x
    x = 1,957,668.81/1,963.32
  6. Step 6: Final answer
    x = 997.12

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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.