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Finding the Fourth Proportional to 622.27, 856.69 and 539.11

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Solution

The fourth proportional to 622.27, 856.69 and 539.11 is: 742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.27 : 856.69 = 539.11 : x
  2. Step 2: Convert to fraction form
    622.27/856.69 = 539.11/x
  3. Step 3: Cross multiply
    622.27x = 856.69 × 539.11
  4. Step 4: Simplify right side
    622.27x = 461,850.15
  5. Step 5: Solve for x
    x = 461,850.15/622.27
  6. Step 6: Final answer
    x = 742.20

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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.