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Finding the Fourth Proportional to 1,352.51, 2,028.89 and 378.62

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Solution

The fourth proportional to 1,352.51, 2,028.89 and 378.62 is: 567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.51 : 2,028.89 = 378.62 : x
  2. Step 2: Convert to fraction form
    1,352.51/2,028.89 = 378.62/x
  3. Step 3: Cross multiply
    1,352.51x = 2,028.89 × 378.62
  4. Step 4: Simplify right side
    1,352.51x = 768,178.33
  5. Step 5: Solve for x
    x = 768,178.33/1,352.51
  6. Step 6: Final answer
    x = 567.96

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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.