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Finding the Fourth Proportional to 1,839.88, 2,759.86 and 453.22

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Solution

The fourth proportional to 1,839.88, 2,759.86 and 453.22 is: 679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.88 : 2,759.86 = 453.22 : x
  2. Step 2: Convert to fraction form
    1,839.88/2,759.86 = 453.22/x
  3. Step 3: Cross multiply
    1,839.88x = 2,759.86 × 453.22
  4. Step 4: Simplify right side
    1,839.88x = 1,250,823.75
  5. Step 5: Solve for x
    x = 1,250,823.75/1,839.88
  6. Step 6: Final answer
    x = 679.84

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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.