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Finding the Fourth Proportional to 792.32, 1,187.69 and 381.83

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Solution

The fourth proportional to 792.32, 1,187.69 and 381.83 is: 572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,187.69 = 381.83 : x
  2. Step 2: Convert to fraction form
    792.32/1,187.69 = 381.83/x
  3. Step 3: Cross multiply
    792.32x = 1,187.69 × 381.83
  4. Step 4: Simplify right side
    792.32x = 453,487.83
  5. Step 5: Solve for x
    x = 453,487.83/792.32
  6. Step 6: Final answer
    x = 572.36

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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.