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Finding the Fourth Proportional to 792.73, 1,093.95 and 438.65

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Solution

The fourth proportional to 792.73, 1,093.95 and 438.65 is: 605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.73 : 1,093.95 = 438.65 : x
  2. Step 2: Convert to fraction form
    792.73/1,093.95 = 438.65/x
  3. Step 3: Cross multiply
    792.73x = 1,093.95 × 438.65
  4. Step 4: Simplify right side
    792.73x = 479,855.70
  5. Step 5: Solve for x
    x = 479,855.70/792.73
  6. Step 6: Final answer
    x = 605.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.