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Finding the Fourth Proportional to 1,268.20, 1,901.04 and 401.86

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Solution

The fourth proportional to 1,268.20, 1,901.04 and 401.86 is: 602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.20 : 1,901.04 = 401.86 : x
  2. Step 2: Convert to fraction form
    1,268.20/1,901.04 = 401.86/x
  3. Step 3: Cross multiply
    1,268.20x = 1,901.04 × 401.86
  4. Step 4: Simplify right side
    1,268.20x = 763,951.93
  5. Step 5: Solve for x
    x = 763,951.93/1,268.20
  6. Step 6: Final answer
    x = 602.39

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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.