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Finding the Fourth Proportional to 1,268.30, 1,903 and 806.60

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Solution

The fourth proportional to 1,268.30, 1,903 and 806.60 is: 1,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.30 : 1,903 = 806.60 : x
  2. Step 2: Convert to fraction form
    1,268.30/1,903 = 806.60/x
  3. Step 3: Cross multiply
    1,268.30x = 1,903 × 806.60
  4. Step 4: Simplify right side
    1,268.30x = 1,534,959.80
  5. Step 5: Solve for x
    x = 1,534,959.80/1,268.30
  6. Step 6: Final answer
    x = 1,210.25

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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.