Home / 1,296.60-1,945.14-419.33

Finding the Fourth Proportional to 1,296.60, 1,945.14 and 419.33

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Solution

The fourth proportional to 1,296.60, 1,945.14 and 419.33 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.60 : 1,945.14 = 419.33 : x
  2. Step 2: Convert to fraction form
    1,296.60/1,945.14 = 419.33/x
  3. Step 3: Cross multiply
    1,296.60x = 1,945.14 × 419.33
  4. Step 4: Simplify right side
    1,296.60x = 815,655.56
  5. Step 5: Solve for x
    x = 815,655.56/1,296.60
  6. Step 6: Final answer
    x = 629.07

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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.