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Finding the Fourth Proportional to 1,296.81, 1,945.53 and 419.40

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Solution

The fourth proportional to 1,296.81, 1,945.53 and 419.40 is: 629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.81 : 1,945.53 = 419.40 : x
  2. Step 2: Convert to fraction form
    1,296.81/1,945.53 = 419.40/x
  3. Step 3: Cross multiply
    1,296.81x = 1,945.53 × 419.40
  4. Step 4: Simplify right side
    1,296.81x = 815,945.55
  5. Step 5: Solve for x
    x = 815,945.55/1,296.81
  6. Step 6: Final answer
    x = 629.20

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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.