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Finding the Fourth Proportional to 1,353.09, 2,028.92 and 428.40

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Solution

The fourth proportional to 1,353.09, 2,028.92 and 428.40 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.09 : 2,028.92 = 428.40 : x
  2. Step 2: Convert to fraction form
    1,353.09/2,028.92 = 428.40/x
  3. Step 3: Cross multiply
    1,353.09x = 2,028.92 × 428.40
  4. Step 4: Simplify right side
    1,353.09x = 869,187.19
  5. Step 5: Solve for x
    x = 869,187.19/1,353.09
  6. Step 6: Final answer
    x = 642.37

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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.