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Finding the Fourth Proportional to 792.20, 1,187.98 and 279.24

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Solution

The fourth proportional to 792.20, 1,187.98 and 279.24 is: 418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.20 : 1,187.98 = 279.24 : x
  2. Step 2: Convert to fraction form
    792.20/1,187.98 = 279.24/x
  3. Step 3: Cross multiply
    792.20x = 1,187.98 × 279.24
  4. Step 4: Simplify right side
    792.20x = 331,731.54
  5. Step 5: Solve for x
    x = 331,731.54/792.20
  6. Step 6: Final answer
    x = 418.75

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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.