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Finding the Fourth Proportional to 722.44, 1,083.66 and 209.56

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Solution

The fourth proportional to 722.44, 1,083.66 and 209.56 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.44 : 1,083.66 = 209.56 : x
  2. Step 2: Convert to fraction form
    722.44/1,083.66 = 209.56/x
  3. Step 3: Cross multiply
    722.44x = 1,083.66 × 209.56
  4. Step 4: Simplify right side
    722.44x = 227,091.79
  5. Step 5: Solve for x
    x = 227,091.79/722.44
  6. Step 6: Final answer
    x = 314.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.