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Finding the Fourth Proportional to 544.56, 819.60 and 408.30

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Solution

The fourth proportional to 544.56, 819.60 and 408.30 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.56 : 819.60 = 408.30 : x
  2. Step 2: Convert to fraction form
    544.56/819.60 = 408.30/x
  3. Step 3: Cross multiply
    544.56x = 819.60 × 408.30
  4. Step 4: Simplify right side
    544.56x = 334,642.68
  5. Step 5: Solve for x
    x = 334,642.68/544.56
  6. Step 6: Final answer
    x = 614.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.