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Finding the Fourth Proportional to 664.88, 998.76 and 543.44

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Solution

The fourth proportional to 664.88, 998.76 and 543.44 is: 816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 998.76 = 543.44 : x
  2. Step 2: Convert to fraction form
    664.88/998.76 = 543.44/x
  3. Step 3: Cross multiply
    664.88x = 998.76 × 543.44
  4. Step 4: Simplify right side
    664.88x = 542,766.13
  5. Step 5: Solve for x
    x = 542,766.13/664.88
  6. Step 6: Final answer
    x = 816.34

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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.