Home / 1,353.28-2,029.92-428.80

Finding the Fourth Proportional to 1,353.28, 2,029.92 and 428.80

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Solution

The fourth proportional to 1,353.28, 2,029.92 and 428.80 is: 643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.28 : 2,029.92 = 428.80 : x
  2. Step 2: Convert to fraction form
    1,353.28/2,029.92 = 428.80/x
  3. Step 3: Cross multiply
    1,353.28x = 2,029.92 × 428.80
  4. Step 4: Simplify right side
    1,353.28x = 870,429.70
  5. Step 5: Solve for x
    x = 870,429.70/1,353.28
  6. Step 6: Final answer
    x = 643.20

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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.