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Finding the Fourth Proportional to 1,352.71, 2,028.92 and 428.27

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Solution

The fourth proportional to 1,352.71, 2,028.92 and 428.27 is: 642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.71 : 2,028.92 = 428.27 : x
  2. Step 2: Convert to fraction form
    1,352.71/2,028.92 = 428.27/x
  3. Step 3: Cross multiply
    1,352.71x = 2,028.92 × 428.27
  4. Step 4: Simplify right side
    1,352.71x = 868,925.57
  5. Step 5: Solve for x
    x = 868,925.57/1,352.71
  6. Step 6: Final answer
    x = 642.36

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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.