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Finding the Fourth Proportional to 1,744.09, 2,406.58 and 997.88

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Solution

The fourth proportional to 1,744.09, 2,406.58 and 997.88 is: 1,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.09 : 2,406.58 = 997.88 : x
  2. Step 2: Convert to fraction form
    1,744.09/2,406.58 = 997.88/x
  3. Step 3: Cross multiply
    1,744.09x = 2,406.58 × 997.88
  4. Step 4: Simplify right side
    1,744.09x = 2,401,478.05
  5. Step 5: Solve for x
    x = 2,401,478.05/1,744.09
  6. Step 6: Final answer
    x = 1,376.92

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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.