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Finding the Fourth Proportional to 669.18, 1,003.77 and 344.10

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Solution

The fourth proportional to 669.18, 1,003.77 and 344.10 is: 516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.18 : 1,003.77 = 344.10 : x
  2. Step 2: Convert to fraction form
    669.18/1,003.77 = 344.10/x
  3. Step 3: Cross multiply
    669.18x = 1,003.77 × 344.10
  4. Step 4: Simplify right side
    669.18x = 345,397.26
  5. Step 5: Solve for x
    x = 345,397.26/669.18
  6. Step 6: Final answer
    x = 516.15

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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.