Home / 1,021.33-1,529.96-789.41

Finding the Fourth Proportional to 1,021.33, 1,529.96 and 789.41

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Solution

The fourth proportional to 1,021.33, 1,529.96 and 789.41 is: 1,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.33 : 1,529.96 = 789.41 : x
  2. Step 2: Convert to fraction form
    1,021.33/1,529.96 = 789.41/x
  3. Step 3: Cross multiply
    1,021.33x = 1,529.96 × 789.41
  4. Step 4: Simplify right side
    1,021.33x = 1,207,761.78
  5. Step 5: Solve for x
    x = 1,207,761.78/1,021.33
  6. Step 6: Final answer
    x = 1,182.54

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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.