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Finding the Fourth Proportional to 1,190.43, 1,782.55 and 821.37

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Solution

The fourth proportional to 1,190.43, 1,782.55 and 821.37 is: 1,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.43 : 1,782.55 = 821.37 : x
  2. Step 2: Convert to fraction form
    1,190.43/1,782.55 = 821.37/x
  3. Step 3: Cross multiply
    1,190.43x = 1,782.55 × 821.37
  4. Step 4: Simplify right side
    1,190.43x = 1,464,140.80
  5. Step 5: Solve for x
    x = 1,464,140.80/1,190.43
  6. Step 6: Final answer
    x = 1,229.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.