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Finding the Fourth Proportional to 1,084.61, 1,627.29 and 344.33

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Solution

The fourth proportional to 1,084.61, 1,627.29 and 344.33 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.61 : 1,627.29 = 344.33 : x
  2. Step 2: Convert to fraction form
    1,084.61/1,627.29 = 344.33/x
  3. Step 3: Cross multiply
    1,084.61x = 1,627.29 × 344.33
  4. Step 4: Simplify right side
    1,084.61x = 560,324.77
  5. Step 5: Solve for x
    x = 560,324.77/1,084.61
  6. Step 6: Final answer
    x = 516.61

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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.