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Finding the Fourth Proportional to 792.17, 1,187.97 and 272.08

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Solution

The fourth proportional to 792.17, 1,187.97 and 272.08 is: 408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.17 : 1,187.97 = 272.08 : x
  2. Step 2: Convert to fraction form
    792.17/1,187.97 = 272.08/x
  3. Step 3: Cross multiply
    792.17x = 1,187.97 × 272.08
  4. Step 4: Simplify right side
    792.17x = 323,222.88
  5. Step 5: Solve for x
    x = 323,222.88/792.17
  6. Step 6: Final answer
    x = 408.02

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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.