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Finding the Fourth Proportional to 1,268.92, 1,901.85 and 719.97

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Solution

The fourth proportional to 1,268.92, 1,901.85 and 719.97 is: 1,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.92 : 1,901.85 = 719.97 : x
  2. Step 2: Convert to fraction form
    1,268.92/1,901.85 = 719.97/x
  3. Step 3: Cross multiply
    1,268.92x = 1,901.85 × 719.97
  4. Step 4: Simplify right side
    1,268.92x = 1,369,274.94
  5. Step 5: Solve for x
    x = 1,369,274.94/1,268.92
  6. Step 6: Final answer
    x = 1,079.09

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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.