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Finding the Fourth Proportional to 1,296.46, 1,945.07 and 419.09

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Solution

The fourth proportional to 1,296.46, 1,945.07 and 419.09 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.46 : 1,945.07 = 419.09 : x
  2. Step 2: Convert to fraction form
    1,296.46/1,945.07 = 419.09/x
  3. Step 3: Cross multiply
    1,296.46x = 1,945.07 × 419.09
  4. Step 4: Simplify right side
    1,296.46x = 815,164.25
  5. Step 5: Solve for x
    x = 815,164.25/1,296.46
  6. Step 6: Final answer
    x = 628.76

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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.