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Finding the Fourth Proportional to 729.64, 1,093.26 and 440.20

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Solution

The fourth proportional to 729.64, 1,093.26 and 440.20 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.64 : 1,093.26 = 440.20 : x
  2. Step 2: Convert to fraction form
    729.64/1,093.26 = 440.20/x
  3. Step 3: Cross multiply
    729.64x = 1,093.26 × 440.20
  4. Step 4: Simplify right side
    729.64x = 481,253.05
  5. Step 5: Solve for x
    x = 481,253.05/729.64
  6. Step 6: Final answer
    x = 659.58

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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.