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Finding the Fourth Proportional to 1,180.69, 1,771.84 and 411.19

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Solution

The fourth proportional to 1,180.69, 1,771.84 and 411.19 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.69 : 1,771.84 = 411.19 : x
  2. Step 2: Convert to fraction form
    1,180.69/1,771.84 = 411.19/x
  3. Step 3: Cross multiply
    1,180.69x = 1,771.84 × 411.19
  4. Step 4: Simplify right side
    1,180.69x = 728,558.97
  5. Step 5: Solve for x
    x = 728,558.97/1,180.69
  6. Step 6: Final answer
    x = 617.06

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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.