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Finding the Fourth Proportional to 1,202.43, 1,792.87 and 1,180.56

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Solution

The fourth proportional to 1,202.43, 1,792.87 and 1,180.56 is: 1,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.43 : 1,792.87 = 1,180.56 : x
  2. Step 2: Convert to fraction form
    1,202.43/1,792.87 = 1,180.56/x
  3. Step 3: Cross multiply
    1,202.43x = 1,792.87 × 1,180.56
  4. Step 4: Simplify right side
    1,202.43x = 2,116,590.61
  5. Step 5: Solve for x
    x = 2,116,590.61/1,202.43
  6. Step 6: Final answer
    x = 1,760.26

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