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Finding the Fourth Proportional to 622.20, 856.68 and 523.74

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Solution

The fourth proportional to 622.20, 856.68 and 523.74 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.20 : 856.68 = 523.74 : x
  2. Step 2: Convert to fraction form
    622.20/856.68 = 523.74/x
  3. Step 3: Cross multiply
    622.20x = 856.68 × 523.74
  4. Step 4: Simplify right side
    622.20x = 448,677.58
  5. Step 5: Solve for x
    x = 448,677.58/622.20
  6. Step 6: Final answer
    x = 721.11

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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.