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Finding the Fourth Proportional to 1,441.92, 1,990.02 and 812.68

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Solution

The fourth proportional to 1,441.92, 1,990.02 and 812.68 is: 1,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.92 : 1,990.02 = 812.68 : x
  2. Step 2: Convert to fraction form
    1,441.92/1,990.02 = 812.68/x
  3. Step 3: Cross multiply
    1,441.92x = 1,990.02 × 812.68
  4. Step 4: Simplify right side
    1,441.92x = 1,617,249.45
  5. Step 5: Solve for x
    x = 1,617,249.45/1,441.92
  6. Step 6: Final answer
    x = 1,121.59

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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.