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Finding the Fourth Proportional to 669.49, 1,004.03 and 200.99

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Solution

The fourth proportional to 669.49, 1,004.03 and 200.99 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.49 : 1,004.03 = 200.99 : x
  2. Step 2: Convert to fraction form
    669.49/1,004.03 = 200.99/x
  3. Step 3: Cross multiply
    669.49x = 1,004.03 × 200.99
  4. Step 4: Simplify right side
    669.49x = 201,798.98
  5. Step 5: Solve for x
    x = 201,798.98/669.49
  6. Step 6: Final answer
    x = 301.42

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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.