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Finding the Fourth Proportional to 722.87, 1,084.29 and 229.25

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Solution

The fourth proportional to 722.87, 1,084.29 and 229.25 is: 343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.87 : 1,084.29 = 229.25 : x
  2. Step 2: Convert to fraction form
    722.87/1,084.29 = 229.25/x
  3. Step 3: Cross multiply
    722.87x = 1,084.29 × 229.25
  4. Step 4: Simplify right side
    722.87x = 248,575.33
  5. Step 5: Solve for x
    x = 248,575.33/722.87
  6. Step 6: Final answer
    x = 343.87

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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.