Home / 1,353.21-2,029.78-428.73

Finding the Fourth Proportional to 1,353.21, 2,029.78 and 428.73

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Solution

The fourth proportional to 1,353.21, 2,029.78 and 428.73 is: 643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.21 : 2,029.78 = 428.73 : x
  2. Step 2: Convert to fraction form
    1,353.21/2,029.78 = 428.73/x
  3. Step 3: Cross multiply
    1,353.21x = 2,029.78 × 428.73
  4. Step 4: Simplify right side
    1,353.21x = 870,227.58
  5. Step 5: Solve for x
    x = 870,227.58/1,353.21
  6. Step 6: Final answer
    x = 643.08

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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.