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Finding the Fourth Proportional to 685.20, 943.80 and 622.02

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Solution

The fourth proportional to 685.20, 943.80 and 622.02 is: 856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.20 : 943.80 = 622.02 : x
  2. Step 2: Convert to fraction form
    685.20/943.80 = 622.02/x
  3. Step 3: Cross multiply
    685.20x = 943.80 × 622.02
  4. Step 4: Simplify right side
    685.20x = 587,062.48
  5. Step 5: Solve for x
    x = 587,062.48/685.20
  6. Step 6: Final answer
    x = 856.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.