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Finding the Fourth Proportional to 622.20, 856.80 and 447.24

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Solution

The fourth proportional to 622.20, 856.80 and 447.24 is: 615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.20 : 856.80 = 447.24 : x
  2. Step 2: Convert to fraction form
    622.20/856.80 = 447.24/x
  3. Step 3: Cross multiply
    622.20x = 856.80 × 447.24
  4. Step 4: Simplify right side
    622.20x = 383,195.23
  5. Step 5: Solve for x
    x = 383,195.23/622.20
  6. Step 6: Final answer
    x = 615.87

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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.