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Finding the Fourth Proportional to 1,202.32, 1,790.42 and 1,198

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Solution

The fourth proportional to 1,202.32, 1,790.42 and 1,198 is: 1,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.32 : 1,790.42 = 1,198 : x
  2. Step 2: Convert to fraction form
    1,202.32/1,790.42 = 1,198/x
  3. Step 3: Cross multiply
    1,202.32x = 1,790.42 × 1,198
  4. Step 4: Simplify right side
    1,202.32x = 2,144,923.16
  5. Step 5: Solve for x
    x = 2,144,923.16/1,202.32
  6. Step 6: Final answer
    x = 1,783.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.