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Finding the Fourth Proportional to 1,428.25, 2,142.39 and 402.25

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Solution

The fourth proportional to 1,428.25, 2,142.39 and 402.25 is: 603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.25 : 2,142.39 = 402.25 : x
  2. Step 2: Convert to fraction form
    1,428.25/2,142.39 = 402.25/x
  3. Step 3: Cross multiply
    1,428.25x = 2,142.39 × 402.25
  4. Step 4: Simplify right side
    1,428.25x = 861,776.38
  5. Step 5: Solve for x
    x = 861,776.38/1,428.25
  6. Step 6: Final answer
    x = 603.38

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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.