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Finding the Fourth Proportional to 1,268.96, 1,901.82 and 857.12

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Solution

The fourth proportional to 1,268.96, 1,901.82 and 857.12 is: 1,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.96 : 1,901.82 = 857.12 : x
  2. Step 2: Convert to fraction form
    1,268.96/1,901.82 = 857.12/x
  3. Step 3: Cross multiply
    1,268.96x = 1,901.82 × 857.12
  4. Step 4: Simplify right side
    1,268.96x = 1,630,087.96
  5. Step 5: Solve for x
    x = 1,630,087.96/1,268.96
  6. Step 6: Final answer
    x = 1,284.59

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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.