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Finding the Fourth Proportional to 1,249.14, 1,723.62 and 783.39

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Solution

The fourth proportional to 1,249.14, 1,723.62 and 783.39 is: 1,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.14 : 1,723.62 = 783.39 : x
  2. Step 2: Convert to fraction form
    1,249.14/1,723.62 = 783.39/x
  3. Step 3: Cross multiply
    1,249.14x = 1,723.62 × 783.39
  4. Step 4: Simplify right side
    1,249.14x = 1,350,266.67
  5. Step 5: Solve for x
    x = 1,350,266.67/1,249.14
  6. Step 6: Final answer
    x = 1,080.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.