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Finding the Fourth Proportional to 1,200.43, 1,796.18 and 1,053.49

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Solution

The fourth proportional to 1,200.43, 1,796.18 and 1,053.49 is: 1,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.43 : 1,796.18 = 1,053.49 : x
  2. Step 2: Convert to fraction form
    1,200.43/1,796.18 = 1,053.49/x
  3. Step 3: Cross multiply
    1,200.43x = 1,796.18 × 1,053.49
  4. Step 4: Simplify right side
    1,200.43x = 1,892,257.67
  5. Step 5: Solve for x
    x = 1,892,257.67/1,200.43
  6. Step 6: Final answer
    x = 1,576.32

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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.