Home / 1,334.06-2,001.19-409.56

Finding the Fourth Proportional to 1,334.06, 2,001.19 and 409.56

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Solution

The fourth proportional to 1,334.06, 2,001.19 and 409.56 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.06 : 2,001.19 = 409.56 : x
  2. Step 2: Convert to fraction form
    1,334.06/2,001.19 = 409.56/x
  3. Step 3: Cross multiply
    1,334.06x = 2,001.19 × 409.56
  4. Step 4: Simplify right side
    1,334.06x = 819,607.38
  5. Step 5: Solve for x
    x = 819,607.38/1,334.06
  6. Step 6: Final answer
    x = 614.37

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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.