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Finding the Fourth Proportional to 1,352.38, 2,028.88 and 428

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Solution

The fourth proportional to 1,352.38, 2,028.88 and 428 is: 642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.38 : 2,028.88 = 428 : x
  2. Step 2: Convert to fraction form
    1,352.38/2,028.88 = 428/x
  3. Step 3: Cross multiply
    1,352.38x = 2,028.88 × 428
  4. Step 4: Simplify right side
    1,352.38x = 868,360.64
  5. Step 5: Solve for x
    x = 868,360.64/1,352.38
  6. Step 6: Final answer
    x = 642.10

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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.