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Finding the Fourth Proportional to 792.50, 1,188.75 and 279.14

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Solution

The fourth proportional to 792.50, 1,188.75 and 279.14 is: 418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,188.75 = 279.14 : x
  2. Step 2: Convert to fraction form
    792.50/1,188.75 = 279.14/x
  3. Step 3: Cross multiply
    792.50x = 1,188.75 × 279.14
  4. Step 4: Simplify right side
    792.50x = 331,827.68
  5. Step 5: Solve for x
    x = 331,827.68/792.50
  6. Step 6: Final answer
    x = 418.71

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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.