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Finding the Fourth Proportional to 547.26, 819.81 and 410.46

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Solution

The fourth proportional to 547.26, 819.81 and 410.46 is: 614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.26 : 819.81 = 410.46 : x
  2. Step 2: Convert to fraction form
    547.26/819.81 = 410.46/x
  3. Step 3: Cross multiply
    547.26x = 819.81 × 410.46
  4. Step 4: Simplify right side
    547.26x = 336,499.21
  5. Step 5: Solve for x
    x = 336,499.21/547.26
  6. Step 6: Final answer
    x = 614.88

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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.