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Finding the Fourth Proportional to 729.02, 1,091.35 and 441.02

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Solution

The fourth proportional to 729.02, 1,091.35 and 441.02 is: 660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,091.35 = 441.02 : x
  2. Step 2: Convert to fraction form
    729.02/1,091.35 = 441.02/x
  3. Step 3: Cross multiply
    729.02x = 1,091.35 × 441.02
  4. Step 4: Simplify right side
    729.02x = 481,307.18
  5. Step 5: Solve for x
    x = 481,307.18/729.02
  6. Step 6: Final answer
    x = 660.21

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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.