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Finding the Fourth Proportional to 1,179.71, 1,769.15 and 449.49

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Solution

The fourth proportional to 1,179.71, 1,769.15 and 449.49 is: 674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.71 : 1,769.15 = 449.49 : x
  2. Step 2: Convert to fraction form
    1,179.71/1,769.15 = 449.49/x
  3. Step 3: Cross multiply
    1,179.71x = 1,769.15 × 449.49
  4. Step 4: Simplify right side
    1,179.71x = 795,216.36
  5. Step 5: Solve for x
    x = 795,216.36/1,179.71
  6. Step 6: Final answer
    x = 674.08

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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.