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Finding the Fourth Proportional to 622.26, 857.19 and 523.98

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Solution

The fourth proportional to 622.26, 857.19 and 523.98 is: 721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 857.19 = 523.98 : x
  2. Step 2: Convert to fraction form
    622.26/857.19 = 523.98/x
  3. Step 3: Cross multiply
    622.26x = 857.19 × 523.98
  4. Step 4: Simplify right side
    622.26x = 449,150.42
  5. Step 5: Solve for x
    x = 449,150.42/622.26
  6. Step 6: Final answer
    x = 721.81

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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.