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Finding the Fourth Proportional to 1,268.36, 1,899.85 and 828.06

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Solution

The fourth proportional to 1,268.36, 1,899.85 and 828.06 is: 1,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.36 : 1,899.85 = 828.06 : x
  2. Step 2: Convert to fraction form
    1,268.36/1,899.85 = 828.06/x
  3. Step 3: Cross multiply
    1,268.36x = 1,899.85 × 828.06
  4. Step 4: Simplify right side
    1,268.36x = 1,573,180.29
  5. Step 5: Solve for x
    x = 1,573,180.29/1,268.36
  6. Step 6: Final answer
    x = 1,240.33

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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.