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Finding the Fourth Proportional to 664.15, 998.48 and 543.29

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Solution

The fourth proportional to 664.15, 998.48 and 543.29 is: 816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.15 : 998.48 = 543.29 : x
  2. Step 2: Convert to fraction form
    664.15/998.48 = 543.29/x
  3. Step 3: Cross multiply
    664.15x = 998.48 × 543.29
  4. Step 4: Simplify right side
    664.15x = 542,464.20
  5. Step 5: Solve for x
    x = 542,464.20/664.15
  6. Step 6: Final answer
    x = 816.78

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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.