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Finding the Fourth Proportional to 669.35, 1,003.91 and 200.81

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Solution

The fourth proportional to 669.35, 1,003.91 and 200.81 is: 301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.35 : 1,003.91 = 200.81 : x
  2. Step 2: Convert to fraction form
    669.35/1,003.91 = 200.81/x
  3. Step 3: Cross multiply
    669.35x = 1,003.91 × 200.81
  4. Step 4: Simplify right side
    669.35x = 201,594.16
  5. Step 5: Solve for x
    x = 201,594.16/669.35
  6. Step 6: Final answer
    x = 301.18

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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.