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Finding the Fourth Proportional to 1,179.80, 1,769.39 and 486.65

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Solution

The fourth proportional to 1,179.80, 1,769.39 and 486.65 is: 729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.80 : 1,769.39 = 486.65 : x
  2. Step 2: Convert to fraction form
    1,179.80/1,769.39 = 486.65/x
  3. Step 3: Cross multiply
    1,179.80x = 1,769.39 × 486.65
  4. Step 4: Simplify right side
    1,179.80x = 861,062.36
  5. Step 5: Solve for x
    x = 861,062.36/1,179.80
  6. Step 6: Final answer
    x = 729.84

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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.