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Finding the Fourth Proportional to 792.60, 1,187.56 and 381.64

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Solution

The fourth proportional to 792.60, 1,187.56 and 381.64 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.60 : 1,187.56 = 381.64 : x
  2. Step 2: Convert to fraction form
    792.60/1,187.56 = 381.64/x
  3. Step 3: Cross multiply
    792.60x = 1,187.56 × 381.64
  4. Step 4: Simplify right side
    792.60x = 453,220.40
  5. Step 5: Solve for x
    x = 453,220.40/792.60
  6. Step 6: Final answer
    x = 571.81

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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.