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Finding the Fourth Proportional to 792.62, 1,188.36 and 381.32

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Solution

The fourth proportional to 792.62, 1,188.36 and 381.32 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.62 : 1,188.36 = 381.32 : x
  2. Step 2: Convert to fraction form
    792.62/1,188.36 = 381.32/x
  3. Step 3: Cross multiply
    792.62x = 1,188.36 × 381.32
  4. Step 4: Simplify right side
    792.62x = 453,145.44
  5. Step 5: Solve for x
    x = 453,145.44/792.62
  6. Step 6: Final answer
    x = 571.71

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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.