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Finding the Fourth Proportional to 1,352.28, 2,028.42 and 378.42

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Solution

The fourth proportional to 1,352.28, 2,028.42 and 378.42 is: 567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.28 : 2,028.42 = 378.42 : x
  2. Step 2: Convert to fraction form
    1,352.28/2,028.42 = 378.42/x
  3. Step 3: Cross multiply
    1,352.28x = 2,028.42 × 378.42
  4. Step 4: Simplify right side
    1,352.28x = 767,594.70
  5. Step 5: Solve for x
    x = 767,594.70/1,352.28
  6. Step 6: Final answer
    x = 567.63

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Double scale
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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.