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Finding the Fourth Proportional to 544.98, 752.49 and 379.14

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Solution

The fourth proportional to 544.98, 752.49 and 379.14 is: 523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.98 : 752.49 = 379.14 : x
  2. Step 2: Convert to fraction form
    544.98/752.49 = 379.14/x
  3. Step 3: Cross multiply
    544.98x = 752.49 × 379.14
  4. Step 4: Simplify right side
    544.98x = 285,299.06
  5. Step 5: Solve for x
    x = 285,299.06/544.98
  6. Step 6: Final answer
    x = 523.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.