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Finding the Fourth Proportional to 671.68, 1,007.89 and 324.80

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Solution

The fourth proportional to 671.68, 1,007.89 and 324.80 is: 487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.68 : 1,007.89 = 324.80 : x
  2. Step 2: Convert to fraction form
    671.68/1,007.89 = 324.80/x
  3. Step 3: Cross multiply
    671.68x = 1,007.89 × 324.80
  4. Step 4: Simplify right side
    671.68x = 327,362.67
  5. Step 5: Solve for x
    x = 327,362.67/671.68
  6. Step 6: Final answer
    x = 487.38

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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.