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Finding the Fourth Proportional to 1,072.63, 1,609.05 and 447.85

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Solution

The fourth proportional to 1,072.63, 1,609.05 and 447.85 is: 671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.63 : 1,609.05 = 447.85 : x
  2. Step 2: Convert to fraction form
    1,072.63/1,609.05 = 447.85/x
  3. Step 3: Cross multiply
    1,072.63x = 1,609.05 × 447.85
  4. Step 4: Simplify right side
    1,072.63x = 720,611.92
  5. Step 5: Solve for x
    x = 720,611.92/1,072.63
  6. Step 6: Final answer
    x = 671.82

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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.