Home / 1,428.67-2,139.99-733.22

Finding the Fourth Proportional to 1,428.67, 2,139.99 and 733.22

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Solution

The fourth proportional to 1,428.67, 2,139.99 and 733.22 is: 1,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.67 : 2,139.99 = 733.22 : x
  2. Step 2: Convert to fraction form
    1,428.67/2,139.99 = 733.22/x
  3. Step 3: Cross multiply
    1,428.67x = 2,139.99 × 733.22
  4. Step 4: Simplify right side
    1,428.67x = 1,569,083.47
  5. Step 5: Solve for x
    x = 1,569,083.47/1,428.67
  6. Step 6: Final answer
    x = 1,098.28

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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.