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Finding the Fourth Proportional to 685.86, 1,022.19 and 680.14

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Solution

The fourth proportional to 685.86, 1,022.19 and 680.14 is: 1,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 1,022.19 = 680.14 : x
  2. Step 2: Convert to fraction form
    685.86/1,022.19 = 680.14/x
  3. Step 3: Cross multiply
    685.86x = 1,022.19 × 680.14
  4. Step 4: Simplify right side
    685.86x = 695,229.28
  5. Step 5: Solve for x
    x = 695,229.28/685.86
  6. Step 6: Final answer
    x = 1,013.66

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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.