Home / 1,296.80-1,944.60-419.14

Finding the Fourth Proportional to 1,296.80, 1,944.60 and 419.14

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Solution

The fourth proportional to 1,296.80, 1,944.60 and 419.14 is: 628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.80 : 1,944.60 = 419.14 : x
  2. Step 2: Convert to fraction form
    1,296.80/1,944.60 = 419.14/x
  3. Step 3: Cross multiply
    1,296.80x = 1,944.60 × 419.14
  4. Step 4: Simplify right side
    1,296.80x = 815,059.64
  5. Step 5: Solve for x
    x = 815,059.64/1,296.80
  6. Step 6: Final answer
    x = 628.52

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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.