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Finding the Fourth Proportional to 792.65, 1,093.97 and 571.90

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Solution

The fourth proportional to 792.65, 1,093.97 and 571.90 is: 789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.65 : 1,093.97 = 571.90 : x
  2. Step 2: Convert to fraction form
    792.65/1,093.97 = 571.90/x
  3. Step 3: Cross multiply
    792.65x = 1,093.97 × 571.90
  4. Step 4: Simplify right side
    792.65x = 625,641.44
  5. Step 5: Solve for x
    x = 625,641.44/792.65
  6. Step 6: Final answer
    x = 789.30

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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.