Home / 1,428.26-2,142.74-402.26

Finding the Fourth Proportional to 1,428.26, 2,142.74 and 402.26

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Solution

The fourth proportional to 1,428.26, 2,142.74 and 402.26 is: 603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.26 : 2,142.74 = 402.26 : x
  2. Step 2: Convert to fraction form
    1,428.26/2,142.74 = 402.26/x
  3. Step 3: Cross multiply
    1,428.26x = 2,142.74 × 402.26
  4. Step 4: Simplify right side
    1,428.26x = 861,938.59
  5. Step 5: Solve for x
    x = 861,938.59/1,428.26
  6. Step 6: Final answer
    x = 603.49

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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.