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Finding the Fourth Proportional to 1,202.24, 1,792.62 and 1,200.62

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Solution

The fourth proportional to 1,202.24, 1,792.62 and 1,200.62 is: 1,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.24 : 1,792.62 = 1,200.62 : x
  2. Step 2: Convert to fraction form
    1,202.24/1,792.62 = 1,200.62/x
  3. Step 3: Cross multiply
    1,202.24x = 1,792.62 × 1,200.62
  4. Step 4: Simplify right side
    1,202.24x = 2,152,249.42
  5. Step 5: Solve for x
    x = 2,152,249.42/1,202.24
  6. Step 6: Final answer
    x = 1,790.20

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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.