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Finding the Fourth Proportional to 669.32, 1,002.34 and 409.43

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Solution

The fourth proportional to 669.32, 1,002.34 and 409.43 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.32 : 1,002.34 = 409.43 : x
  2. Step 2: Convert to fraction form
    669.32/1,002.34 = 409.43/x
  3. Step 3: Cross multiply
    669.32x = 1,002.34 × 409.43
  4. Step 4: Simplify right side
    669.32x = 410,388.07
  5. Step 5: Solve for x
    x = 410,388.07/669.32
  6. Step 6: Final answer
    x = 613.14

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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.