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Finding the Fourth Proportional to 669.26, 1,003.86 and 426.89

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Solution

The fourth proportional to 669.26, 1,003.86 and 426.89 is: 640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.26 : 1,003.86 = 426.89 : x
  2. Step 2: Convert to fraction form
    669.26/1,003.86 = 426.89/x
  3. Step 3: Cross multiply
    669.26x = 1,003.86 × 426.89
  4. Step 4: Simplify right side
    669.26x = 428,537.80
  5. Step 5: Solve for x
    x = 428,537.80/669.26
  6. Step 6: Final answer
    x = 640.32

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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.