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Finding the Fourth Proportional to 1,330.62, 1,826.49 and 1,179.96

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Solution

The fourth proportional to 1,330.62, 1,826.49 and 1,179.96 is: 1,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.62 : 1,826.49 = 1,179.96 : x
  2. Step 2: Convert to fraction form
    1,330.62/1,826.49 = 1,179.96/x
  3. Step 3: Cross multiply
    1,330.62x = 1,826.49 × 1,179.96
  4. Step 4: Simplify right side
    1,330.62x = 2,155,185.14
  5. Step 5: Solve for x
    x = 2,155,185.14/1,330.62
  6. Step 6: Final answer
    x = 1,619.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.