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Finding the Fourth Proportional to 669.49, 1,003.46 and 395.81

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Solution

The fourth proportional to 669.49, 1,003.46 and 395.81 is: 593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.49 : 1,003.46 = 395.81 : x
  2. Step 2: Convert to fraction form
    669.49/1,003.46 = 395.81/x
  3. Step 3: Cross multiply
    669.49x = 1,003.46 × 395.81
  4. Step 4: Simplify right side
    669.49x = 397,176.27
  5. Step 5: Solve for x
    x = 397,176.27/669.49
  6. Step 6: Final answer
    x = 593.25

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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.