Home / 1,308.09-1,961.76-406.14

Finding the Fourth Proportional to 1,308.09, 1,961.76 and 406.14

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Solution

The fourth proportional to 1,308.09, 1,961.76 and 406.14 is: 609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.09 : 1,961.76 = 406.14 : x
  2. Step 2: Convert to fraction form
    1,308.09/1,961.76 = 406.14/x
  3. Step 3: Cross multiply
    1,308.09x = 1,961.76 × 406.14
  4. Step 4: Simplify right side
    1,308.09x = 796,749.21
  5. Step 5: Solve for x
    x = 796,749.21/1,308.09
  6. Step 6: Final answer
    x = 609.09

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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.