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Finding the Fourth Proportional to 544.12, 816.48 and 381.48

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Solution

The fourth proportional to 544.12, 816.48 and 381.48 is: 572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.12 : 816.48 = 381.48 : x
  2. Step 2: Convert to fraction form
    544.12/816.48 = 381.48/x
  3. Step 3: Cross multiply
    544.12x = 816.48 × 381.48
  4. Step 4: Simplify right side
    544.12x = 311,470.79
  5. Step 5: Solve for x
    x = 311,470.79/544.12
  6. Step 6: Final answer
    x = 572.43

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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.