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Finding the Fourth Proportional to 1,645.56, 2,268.78 and 1,179

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Solution

The fourth proportional to 1,645.56, 2,268.78 and 1,179 is: 1,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.56 : 2,268.78 = 1,179 : x
  2. Step 2: Convert to fraction form
    1,645.56/2,268.78 = 1,179/x
  3. Step 3: Cross multiply
    1,645.56x = 2,268.78 × 1,179
  4. Step 4: Simplify right side
    1,645.56x = 2,674,891.62
  5. Step 5: Solve for x
    x = 2,674,891.62/1,645.56
  6. Step 6: Final answer
    x = 1,625.52

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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.