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Finding the Fourth Proportional to 669.33, 1,003.96 and 391.84

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Solution

The fourth proportional to 669.33, 1,003.96 and 391.84 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.33 : 1,003.96 = 391.84 : x
  2. Step 2: Convert to fraction form
    669.33/1,003.96 = 391.84/x
  3. Step 3: Cross multiply
    669.33x = 1,003.96 × 391.84
  4. Step 4: Simplify right side
    669.33x = 393,391.69
  5. Step 5: Solve for x
    x = 393,391.69/669.33
  6. Step 6: Final answer
    x = 587.74

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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.