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Finding the Fourth Proportional to 1,221.64, 1,832.56 and 491.23

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Solution

The fourth proportional to 1,221.64, 1,832.56 and 491.23 is: 736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.64 : 1,832.56 = 491.23 : x
  2. Step 2: Convert to fraction form
    1,221.64/1,832.56 = 491.23/x
  3. Step 3: Cross multiply
    1,221.64x = 1,832.56 × 491.23
  4. Step 4: Simplify right side
    1,221.64x = 900,203.85
  5. Step 5: Solve for x
    x = 900,203.85/1,221.64
  6. Step 6: Final answer
    x = 736.88

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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.