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Finding the Fourth Proportional to 1,249.50, 1,711.81 and 1,202.77

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Solution

The fourth proportional to 1,249.50, 1,711.81 and 1,202.77 is: 1,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.50 : 1,711.81 = 1,202.77 : x
  2. Step 2: Convert to fraction form
    1,249.50/1,711.81 = 1,202.77/x
  3. Step 3: Cross multiply
    1,249.50x = 1,711.81 × 1,202.77
  4. Step 4: Simplify right side
    1,249.50x = 2,058,918.79
  5. Step 5: Solve for x
    x = 2,058,918.79/1,249.50
  6. Step 6: Final answer
    x = 1,647.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.