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Finding the Fourth Proportional to 544.56, 819.59 and 408.34

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Solution

The fourth proportional to 544.56, 819.59 and 408.34 is: 614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.56 : 819.59 = 408.34 : x
  2. Step 2: Convert to fraction form
    544.56/819.59 = 408.34/x
  3. Step 3: Cross multiply
    544.56x = 819.59 × 408.34
  4. Step 4: Simplify right side
    544.56x = 334,671.38
  5. Step 5: Solve for x
    x = 334,671.38/544.56
  6. Step 6: Final answer
    x = 614.57

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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.