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Finding the Fourth Proportional to 1,149.73, 1,723.14 and 709.56

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Solution

The fourth proportional to 1,149.73, 1,723.14 and 709.56 is: 1,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.73 : 1,723.14 = 709.56 : x
  2. Step 2: Convert to fraction form
    1,149.73/1,723.14 = 709.56/x
  3. Step 3: Cross multiply
    1,149.73x = 1,723.14 × 709.56
  4. Step 4: Simplify right side
    1,149.73x = 1,222,671.22
  5. Step 5: Solve for x
    x = 1,222,671.22/1,149.73
  6. Step 6: Final answer
    x = 1,063.44

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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.