Home / 1,296.35-1,944.77-419.09

Finding the Fourth Proportional to 1,296.35, 1,944.77 and 419.09

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Solution

The fourth proportional to 1,296.35, 1,944.77 and 419.09 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.35 : 1,944.77 = 419.09 : x
  2. Step 2: Convert to fraction form
    1,296.35/1,944.77 = 419.09/x
  3. Step 3: Cross multiply
    1,296.35x = 1,944.77 × 419.09
  4. Step 4: Simplify right side
    1,296.35x = 815,021.84
  5. Step 5: Solve for x
    x = 815,021.84/1,296.35
  6. Step 6: Final answer
    x = 628.71

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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.