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Finding the Fourth Proportional to 1,334.07, 1,839.81 and 892.57

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Solution

The fourth proportional to 1,334.07, 1,839.81 and 892.57 is: 1,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.07 : 1,839.81 = 892.57 : x
  2. Step 2: Convert to fraction form
    1,334.07/1,839.81 = 892.57/x
  3. Step 3: Cross multiply
    1,334.07x = 1,839.81 × 892.57
  4. Step 4: Simplify right side
    1,334.07x = 1,642,161.41
  5. Step 5: Solve for x
    x = 1,642,161.41/1,334.07
  6. Step 6: Final answer
    x = 1,230.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.