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Finding the Fourth Proportional to 669.44, 1,003.34 and 283.88

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Solution

The fourth proportional to 669.44, 1,003.34 and 283.88 is: 425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.44 : 1,003.34 = 283.88 : x
  2. Step 2: Convert to fraction form
    669.44/1,003.34 = 283.88/x
  3. Step 3: Cross multiply
    669.44x = 1,003.34 × 283.88
  4. Step 4: Simplify right side
    669.44x = 284,823.85
  5. Step 5: Solve for x
    x = 284,823.85/669.44
  6. Step 6: Final answer
    x = 425.47

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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.