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Finding the Fourth Proportional to 792.96, 1,189.44 and 280

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Solution

The fourth proportional to 792.96, 1,189.44 and 280 is: 420

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.96 : 1,189.44 = 280 : x
  2. Step 2: Convert to fraction form
    792.96/1,189.44 = 280/x
  3. Step 3: Cross multiply
    792.96x = 1,189.44 × 280
  4. Step 4: Simplify right side
    792.96x = 333,043.20
  5. Step 5: Solve for x
    x = 333,043.20/792.96
  6. Step 6: Final answer
    x = 420

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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.