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Finding the Fourth Proportional to 1,200.11, 1,652.83 and 1,034.26

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Solution

The fourth proportional to 1,200.11, 1,652.83 and 1,034.26 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.11 : 1,652.83 = 1,034.26 : x
  2. Step 2: Convert to fraction form
    1,200.11/1,652.83 = 1,034.26/x
  3. Step 3: Cross multiply
    1,200.11x = 1,652.83 × 1,034.26
  4. Step 4: Simplify right side
    1,200.11x = 1,709,455.96
  5. Step 5: Solve for x
    x = 1,709,455.96/1,200.11
  6. Step 6: Final answer
    x = 1,424.42

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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.