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Finding the Fourth Proportional to 2,644.44, 3,966.32 and 696.80

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Solution

The fourth proportional to 2,644.44, 3,966.32 and 696.80 is: 1,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.44 : 3,966.32 = 696.80 : x
  2. Step 2: Convert to fraction form
    2,644.44/3,966.32 = 696.80/x
  3. Step 3: Cross multiply
    2,644.44x = 3,966.32 × 696.80
  4. Step 4: Simplify right side
    2,644.44x = 2,763,708.46
  5. Step 5: Solve for x
    x = 2,763,708.46/2,644.44
  6. Step 6: Final answer
    x = 1,045.10

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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.