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Finding the Fourth Proportional to 1,428.67, 2,141.79 and 562.51

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Solution

The fourth proportional to 1,428.67, 2,141.79 and 562.51 is: 843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.67 : 2,141.79 = 562.51 : x
  2. Step 2: Convert to fraction form
    1,428.67/2,141.79 = 562.51/x
  3. Step 3: Cross multiply
    1,428.67x = 2,141.79 × 562.51
  4. Step 4: Simplify right side
    1,428.67x = 1,204,778.29
  5. Step 5: Solve for x
    x = 1,204,778.29/1,428.67
  6. Step 6: Final answer
    x = 843.29

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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.