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Finding the Fourth Proportional to 1,074.78, 1,611.63 and 344.43

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Solution

The fourth proportional to 1,074.78, 1,611.63 and 344.43 is: 516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.78 : 1,611.63 = 344.43 : x
  2. Step 2: Convert to fraction form
    1,074.78/1,611.63 = 344.43/x
  3. Step 3: Cross multiply
    1,074.78x = 1,611.63 × 344.43
  4. Step 4: Simplify right side
    1,074.78x = 555,093.72
  5. Step 5: Solve for x
    x = 555,093.72/1,074.78
  6. Step 6: Final answer
    x = 516.47

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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.