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Finding the Fourth Proportional to 1,788.33, 2,468.88 and 1,201.98

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Solution

The fourth proportional to 1,788.33, 2,468.88 and 1,201.98 is: 1,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.33 : 2,468.88 = 1,201.98 : x
  2. Step 2: Convert to fraction form
    1,788.33/2,468.88 = 1,201.98/x
  3. Step 3: Cross multiply
    1,788.33x = 2,468.88 × 1,201.98
  4. Step 4: Simplify right side
    1,788.33x = 2,967,544.38
  5. Step 5: Solve for x
    x = 2,967,544.38/1,788.33
  6. Step 6: Final answer
    x = 1,659.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.