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Finding the Fourth Proportional to 1,268.38, 1,902.64 and 391.49

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Solution

The fourth proportional to 1,268.38, 1,902.64 and 391.49 is: 587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.38 : 1,902.64 = 391.49 : x
  2. Step 2: Convert to fraction form
    1,268.38/1,902.64 = 391.49/x
  3. Step 3: Cross multiply
    1,268.38x = 1,902.64 × 391.49
  4. Step 4: Simplify right side
    1,268.38x = 744,855.02
  5. Step 5: Solve for x
    x = 744,855.02/1,268.38
  6. Step 6: Final answer
    x = 587.25

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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.