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Finding the Fourth Proportional to 1,139.56, 1,709.34 and 409.14

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Solution

The fourth proportional to 1,139.56, 1,709.34 and 409.14 is: 613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.56 : 1,709.34 = 409.14 : x
  2. Step 2: Convert to fraction form
    1,139.56/1,709.34 = 409.14/x
  3. Step 3: Cross multiply
    1,139.56x = 1,709.34 × 409.14
  4. Step 4: Simplify right side
    1,139.56x = 699,355.09
  5. Step 5: Solve for x
    x = 699,355.09/1,139.56
  6. Step 6: Final answer
    x = 613.71

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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.