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Finding the Fourth Proportional to 1,331.09, 1,836.74 and 741.41

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Solution

The fourth proportional to 1,331.09, 1,836.74 and 741.41 is: 1,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.09 : 1,836.74 = 741.41 : x
  2. Step 2: Convert to fraction form
    1,331.09/1,836.74 = 741.41/x
  3. Step 3: Cross multiply
    1,331.09x = 1,836.74 × 741.41
  4. Step 4: Simplify right side
    1,331.09x = 1,361,777.40
  5. Step 5: Solve for x
    x = 1,361,777.40/1,331.09
  6. Step 6: Final answer
    x = 1,023.05

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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.