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Finding the Fourth Proportional to 1,268.52, 1,762.64 and 1,255.02

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Solution

The fourth proportional to 1,268.52, 1,762.64 and 1,255.02 is: 1,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.52 : 1,762.64 = 1,255.02 : x
  2. Step 2: Convert to fraction form
    1,268.52/1,762.64 = 1,255.02/x
  3. Step 3: Cross multiply
    1,268.52x = 1,762.64 × 1,255.02
  4. Step 4: Simplify right side
    1,268.52x = 2,212,142.18
  5. Step 5: Solve for x
    x = 2,212,142.18/1,268.52
  6. Step 6: Final answer
    x = 1,743.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.