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Finding the Fourth Proportional to 684.22, 944.17 and 404.43

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Solution

The fourth proportional to 684.22, 944.17 and 404.43 is: 558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.22 : 944.17 = 404.43 : x
  2. Step 2: Convert to fraction form
    684.22/944.17 = 404.43/x
  3. Step 3: Cross multiply
    684.22x = 944.17 × 404.43
  4. Step 4: Simplify right side
    684.22x = 381,849.66
  5. Step 5: Solve for x
    x = 381,849.66/684.22
  6. Step 6: Final answer
    x = 558.08

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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.