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Finding the Fourth Proportional to 1,351.80, 2,028.07 and 427.33

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Solution

The fourth proportional to 1,351.80, 2,028.07 and 427.33 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.80 : 2,028.07 = 427.33 : x
  2. Step 2: Convert to fraction form
    1,351.80/2,028.07 = 427.33/x
  3. Step 3: Cross multiply
    1,351.80x = 2,028.07 × 427.33
  4. Step 4: Simplify right side
    1,351.80x = 866,655.15
  5. Step 5: Solve for x
    x = 866,655.15/1,351.80
  6. Step 6: Final answer
    x = 641.11

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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.