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Finding the Fourth Proportional to 669.19, 1,002.41 and 394.45

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Solution

The fourth proportional to 669.19, 1,002.41 and 394.45 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.19 : 1,002.41 = 394.45 : x
  2. Step 2: Convert to fraction form
    669.19/1,002.41 = 394.45/x
  3. Step 3: Cross multiply
    669.19x = 1,002.41 × 394.45
  4. Step 4: Simplify right side
    669.19x = 395,400.62
  5. Step 5: Solve for x
    x = 395,400.62/669.19
  6. Step 6: Final answer
    x = 590.86

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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.