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Finding the Fourth Proportional to 669.20, 1,003.49 and 376.68

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Solution

The fourth proportional to 669.20, 1,003.49 and 376.68 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.20 : 1,003.49 = 376.68 : x
  2. Step 2: Convert to fraction form
    669.20/1,003.49 = 376.68/x
  3. Step 3: Cross multiply
    669.20x = 1,003.49 × 376.68
  4. Step 4: Simplify right side
    669.20x = 377,997.91
  5. Step 5: Solve for x
    x = 377,997.91/669.20
  6. Step 6: Final answer
    x = 564.85

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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.