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Finding the Fourth Proportional to 729.05, 1,093.79 and 404.65

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Solution

The fourth proportional to 729.05, 1,093.79 and 404.65 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.05 : 1,093.79 = 404.65 : x
  2. Step 2: Convert to fraction form
    729.05/1,093.79 = 404.65/x
  3. Step 3: Cross multiply
    729.05x = 1,093.79 × 404.65
  4. Step 4: Simplify right side
    729.05x = 442,597.37
  5. Step 5: Solve for x
    x = 442,597.37/729.05
  6. Step 6: Final answer
    x = 607.09

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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.