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Finding the Fourth Proportional to 1,243, 1,716.78 and 849.34

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Solution

The fourth proportional to 1,243, 1,716.78 and 849.34 is: 1,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243 : 1,716.78 = 849.34 : x
  2. Step 2: Convert to fraction form
    1,243/1,716.78 = 849.34/x
  3. Step 3: Cross multiply
    1,243x = 1,716.78 × 849.34
  4. Step 4: Simplify right side
    1,243x = 1,458,129.93
  5. Step 5: Solve for x
    x = 1,458,129.93/1,243
  6. Step 6: Final answer
    x = 1,173.07

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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.