Home / 1,428.38-2,142.57-402.38

Finding the Fourth Proportional to 1,428.38, 2,142.57 and 402.38

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Solution

The fourth proportional to 1,428.38, 2,142.57 and 402.38 is: 603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.38 : 2,142.57 = 402.38 : x
  2. Step 2: Convert to fraction form
    1,428.38/2,142.57 = 402.38/x
  3. Step 3: Cross multiply
    1,428.38x = 2,142.57 × 402.38
  4. Step 4: Simplify right side
    1,428.38x = 862,114.59
  5. Step 5: Solve for x
    x = 862,114.59/1,428.38
  6. Step 6: Final answer
    x = 603.56

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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.