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Finding the Fourth Proportional to 622.24, 857.36 and 447.52

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Solution

The fourth proportional to 622.24, 857.36 and 447.52 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.24 : 857.36 = 447.52 : x
  2. Step 2: Convert to fraction form
    622.24/857.36 = 447.52/x
  3. Step 3: Cross multiply
    622.24x = 857.36 × 447.52
  4. Step 4: Simplify right side
    622.24x = 383,685.75
  5. Step 5: Solve for x
    x = 383,685.75/622.24
  6. Step 6: Final answer
    x = 616.62

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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.