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Finding the Fourth Proportional to 729.19, 1,094.06 and 363.97

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Solution

The fourth proportional to 729.19, 1,094.06 and 363.97 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.19 : 1,094.06 = 363.97 : x
  2. Step 2: Convert to fraction form
    729.19/1,094.06 = 363.97/x
  3. Step 3: Cross multiply
    729.19x = 1,094.06 × 363.97
  4. Step 4: Simplify right side
    729.19x = 398,205.02
  5. Step 5: Solve for x
    x = 398,205.02/729.19
  6. Step 6: Final answer
    x = 546.09

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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.