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Finding the Fourth Proportional to 686.86, 1,022.77 and 669.44

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Solution

The fourth proportional to 686.86, 1,022.77 and 669.44 is: 996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.86 : 1,022.77 = 669.44 : x
  2. Step 2: Convert to fraction form
    686.86/1,022.77 = 669.44/x
  3. Step 3: Cross multiply
    686.86x = 1,022.77 × 669.44
  4. Step 4: Simplify right side
    686.86x = 684,683.15
  5. Step 5: Solve for x
    x = 684,683.15/686.86
  6. Step 6: Final answer
    x = 996.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.