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Finding the Fourth Proportional to 792.80, 1,188.61 and 381.55

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Solution

The fourth proportional to 792.80, 1,188.61 and 381.55 is: 572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.80 : 1,188.61 = 381.55 : x
  2. Step 2: Convert to fraction form
    792.80/1,188.61 = 381.55/x
  3. Step 3: Cross multiply
    792.80x = 1,188.61 × 381.55
  4. Step 4: Simplify right side
    792.80x = 453,514.15
  5. Step 5: Solve for x
    x = 453,514.15/792.80
  6. Step 6: Final answer
    x = 572.04

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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.