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Finding the Fourth Proportional to 1,828.79, 2,744.61 and 733.88

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Solution

The fourth proportional to 1,828.79, 2,744.61 and 733.88 is: 1,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.79 : 2,744.61 = 733.88 : x
  2. Step 2: Convert to fraction form
    1,828.79/2,744.61 = 733.88/x
  3. Step 3: Cross multiply
    1,828.79x = 2,744.61 × 733.88
  4. Step 4: Simplify right side
    1,828.79x = 2,014,200.66
  5. Step 5: Solve for x
    x = 2,014,200.66/1,828.79
  6. Step 6: Final answer
    x = 1,101.39

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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.