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Finding the Fourth Proportional to 1,744.94, 2,617.97 and 820.58

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Solution

The fourth proportional to 1,744.94, 2,617.97 and 820.58 is: 1,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.94 : 2,617.97 = 820.58 : x
  2. Step 2: Convert to fraction form
    1,744.94/2,617.97 = 820.58/x
  3. Step 3: Cross multiply
    1,744.94x = 2,617.97 × 820.58
  4. Step 4: Simplify right side
    1,744.94x = 2,148,260.37
  5. Step 5: Solve for x
    x = 2,148,260.37/1,744.94
  6. Step 6: Final answer
    x = 1,231.14

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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.