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Finding the Fourth Proportional to 1,268.25, 1,901.22 and 537.42

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Solution

The fourth proportional to 1,268.25, 1,901.22 and 537.42 is: 805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.25 : 1,901.22 = 537.42 : x
  2. Step 2: Convert to fraction form
    1,268.25/1,901.22 = 537.42/x
  3. Step 3: Cross multiply
    1,268.25x = 1,901.22 × 537.42
  4. Step 4: Simplify right side
    1,268.25x = 1,021,753.65
  5. Step 5: Solve for x
    x = 1,021,753.65/1,268.25
  6. Step 6: Final answer
    x = 805.64

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Why These Related Problems?

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