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Finding the Fourth Proportional to 669.18, 1,002.15 and 409.35

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Solution

The fourth proportional to 669.18, 1,002.15 and 409.35 is: 613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.18 : 1,002.15 = 409.35 : x
  2. Step 2: Convert to fraction form
    669.18/1,002.15 = 409.35/x
  3. Step 3: Cross multiply
    669.18x = 1,002.15 × 409.35
  4. Step 4: Simplify right side
    669.18x = 410,230.10
  5. Step 5: Solve for x
    x = 410,230.10/669.18
  6. Step 6: Final answer
    x = 613.03

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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.