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Finding the Fourth Proportional to 2,644.36, 3,966.09 and 696.58

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Solution

The fourth proportional to 2,644.36, 3,966.09 and 696.58 is: 1,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.36 : 3,966.09 = 696.58 : x
  2. Step 2: Convert to fraction form
    2,644.36/3,966.09 = 696.58/x
  3. Step 3: Cross multiply
    2,644.36x = 3,966.09 × 696.58
  4. Step 4: Simplify right side
    2,644.36x = 2,762,698.97
  5. Step 5: Solve for x
    x = 2,762,698.97/2,644.36
  6. Step 6: Final answer
    x = 1,044.75

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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.