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Finding the Fourth Proportional to 792.46, 1,187.89 and 381.38

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Solution

The fourth proportional to 792.46, 1,187.89 and 381.38 is: 571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.46 : 1,187.89 = 381.38 : x
  2. Step 2: Convert to fraction form
    792.46/1,187.89 = 381.38/x
  3. Step 3: Cross multiply
    792.46x = 1,187.89 × 381.38
  4. Step 4: Simplify right side
    792.46x = 453,032.74
  5. Step 5: Solve for x
    x = 453,032.74/792.46
  6. Step 6: Final answer
    x = 571.68

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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.