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Finding the Fourth Proportional to 792.72, 1,189.20 and 272.84

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Solution

The fourth proportional to 792.72, 1,189.20 and 272.84 is: 409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.72 : 1,189.20 = 272.84 : x
  2. Step 2: Convert to fraction form
    792.72/1,189.20 = 272.84/x
  3. Step 3: Cross multiply
    792.72x = 1,189.20 × 272.84
  4. Step 4: Simplify right side
    792.72x = 324,461.33
  5. Step 5: Solve for x
    x = 324,461.33/792.72
  6. Step 6: Final answer
    x = 409.30

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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.