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Finding the Fourth Proportional to 671.82, 1,008.01 and 363.31

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Solution

The fourth proportional to 671.82, 1,008.01 and 363.31 is: 545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.82 : 1,008.01 = 363.31 : x
  2. Step 2: Convert to fraction form
    671.82/1,008.01 = 363.31/x
  3. Step 3: Cross multiply
    671.82x = 1,008.01 × 363.31
  4. Step 4: Simplify right side
    671.82x = 366,218.05
  5. Step 5: Solve for x
    x = 366,218.05/671.82
  6. Step 6: Final answer
    x = 545.12

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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.