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Finding the Fourth Proportional to 1,181.96, 1,771.51 and 440.97

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Solution

The fourth proportional to 1,181.96, 1,771.51 and 440.97 is: 660.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.96 : 1,771.51 = 440.97 : x
  2. Step 2: Convert to fraction form
    1,181.96/1,771.51 = 440.97/x
  3. Step 3: Cross multiply
    1,181.96x = 1,771.51 × 440.97
  4. Step 4: Simplify right side
    1,181.96x = 781,182.76
  5. Step 5: Solve for x
    x = 781,182.76/1,181.96
  6. Step 6: Final answer
    x = 660.92

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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.