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Finding the Fourth Proportional to 792.25, 1,093.31 and 442.94

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Solution

The fourth proportional to 792.25, 1,093.31 and 442.94 is: 611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.25 : 1,093.31 = 442.94 : x
  2. Step 2: Convert to fraction form
    792.25/1,093.31 = 442.94/x
  3. Step 3: Cross multiply
    792.25x = 1,093.31 × 442.94
  4. Step 4: Simplify right side
    792.25x = 484,270.73
  5. Step 5: Solve for x
    x = 484,270.73/792.25
  6. Step 6: Final answer
    x = 611.26

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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.