Home / 1,268.14-1,902.45-402.28

Finding the Fourth Proportional to 1,268.14, 1,902.45 and 402.28

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Solution

The fourth proportional to 1,268.14, 1,902.45 and 402.28 is: 603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.14 : 1,902.45 = 402.28 : x
  2. Step 2: Convert to fraction form
    1,268.14/1,902.45 = 402.28/x
  3. Step 3: Cross multiply
    1,268.14x = 1,902.45 × 402.28
  4. Step 4: Simplify right side
    1,268.14x = 765,317.59
  5. Step 5: Solve for x
    x = 765,317.59/1,268.14
  6. Step 6: Final answer
    x = 603.50

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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.