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Finding the Fourth Proportional to 1,836.29, 2,755.44 and 740.76

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Solution

The fourth proportional to 1,836.29, 2,755.44 and 740.76 is: 1,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.29 : 2,755.44 = 740.76 : x
  2. Step 2: Convert to fraction form
    1,836.29/2,755.44 = 740.76/x
  3. Step 3: Cross multiply
    1,836.29x = 2,755.44 × 740.76
  4. Step 4: Simplify right side
    1,836.29x = 2,041,119.73
  5. Step 5: Solve for x
    x = 2,041,119.73/1,836.29
  6. Step 6: Final answer
    x = 1,111.55

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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.