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Finding the Fourth Proportional to 669.21, 1,003.39 and 322.09

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Solution

The fourth proportional to 669.21, 1,003.39 and 322.09 is: 482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.21 : 1,003.39 = 322.09 : x
  2. Step 2: Convert to fraction form
    669.21/1,003.39 = 322.09/x
  3. Step 3: Cross multiply
    669.21x = 1,003.39 × 322.09
  4. Step 4: Simplify right side
    669.21x = 323,180.27
  5. Step 5: Solve for x
    x = 323,180.27/669.21
  6. Step 6: Final answer
    x = 482.93

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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.