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Finding the Fourth Proportional to 1,072.83, 1,609.35 and 866.49

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Solution

The fourth proportional to 1,072.83, 1,609.35 and 866.49 is: 1,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.83 : 1,609.35 = 866.49 : x
  2. Step 2: Convert to fraction form
    1,072.83/1,609.35 = 866.49/x
  3. Step 3: Cross multiply
    1,072.83x = 1,609.35 × 866.49
  4. Step 4: Simplify right side
    1,072.83x = 1,394,485.68
  5. Step 5: Solve for x
    x = 1,394,485.68/1,072.83
  6. Step 6: Final answer
    x = 1,299.82

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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.