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Finding the Fourth Proportional to 1,181.28, 1,771.71 and 441.24

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Solution

The fourth proportional to 1,181.28, 1,771.71 and 441.24 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.28 : 1,771.71 = 441.24 : x
  2. Step 2: Convert to fraction form
    1,181.28/1,771.71 = 441.24/x
  3. Step 3: Cross multiply
    1,181.28x = 1,771.71 × 441.24
  4. Step 4: Simplify right side
    1,181.28x = 781,749.32
  5. Step 5: Solve for x
    x = 781,749.32/1,181.28
  6. Step 6: Final answer
    x = 661.78

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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.