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Finding the Fourth Proportional to 1,200.44, 1,647.75 and 1,066.52

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Solution

The fourth proportional to 1,200.44, 1,647.75 and 1,066.52 is: 1,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.44 : 1,647.75 = 1,066.52 : x
  2. Step 2: Convert to fraction form
    1,200.44/1,647.75 = 1,066.52/x
  3. Step 3: Cross multiply
    1,200.44x = 1,647.75 × 1,066.52
  4. Step 4: Simplify right side
    1,200.44x = 1,757,358.33
  5. Step 5: Solve for x
    x = 1,757,358.33/1,200.44
  6. Step 6: Final answer
    x = 1,463.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.