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Finding the Fourth Proportional to 733.99, 1,101.17 and 323.21

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Solution

The fourth proportional to 733.99, 1,101.17 and 323.21 is: 484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.99 : 1,101.17 = 323.21 : x
  2. Step 2: Convert to fraction form
    733.99/1,101.17 = 323.21/x
  3. Step 3: Cross multiply
    733.99x = 1,101.17 × 323.21
  4. Step 4: Simplify right side
    733.99x = 355,909.16
  5. Step 5: Solve for x
    x = 355,909.16/733.99
  6. Step 6: Final answer
    x = 484.90

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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.