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Finding the Fourth Proportional to 1,331.22, 1,836.99 and 741.79

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Solution

The fourth proportional to 1,331.22, 1,836.99 and 741.79 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.22 : 1,836.99 = 741.79 : x
  2. Step 2: Convert to fraction form
    1,331.22/1,836.99 = 741.79/x
  3. Step 3: Cross multiply
    1,331.22x = 1,836.99 × 741.79
  4. Step 4: Simplify right side
    1,331.22x = 1,362,656.22
  5. Step 5: Solve for x
    x = 1,362,656.22/1,331.22
  6. Step 6: Final answer
    x = 1,023.61

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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.