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Finding the Fourth Proportional to 1,227.41, 1,842.67 and 741.41

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Solution

The fourth proportional to 1,227.41, 1,842.67 and 741.41 is: 1,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.41 : 1,842.67 = 741.41 : x
  2. Step 2: Convert to fraction form
    1,227.41/1,842.67 = 741.41/x
  3. Step 3: Cross multiply
    1,227.41x = 1,842.67 × 741.41
  4. Step 4: Simplify right side
    1,227.41x = 1,366,162.90
  5. Step 5: Solve for x
    x = 1,366,162.90/1,227.41
  6. Step 6: Final answer
    x = 1,113.05

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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.