Home / 1,744.20-2,407.44-998.40

Finding the Fourth Proportional to 1,744.20, 2,407.44 and 998.40

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Solution

The fourth proportional to 1,744.20, 2,407.44 and 998.40 is: 1,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.20 : 2,407.44 = 998.40 : x
  2. Step 2: Convert to fraction form
    1,744.20/2,407.44 = 998.40/x
  3. Step 3: Cross multiply
    1,744.20x = 2,407.44 × 998.40
  4. Step 4: Simplify right side
    1,744.20x = 2,403,588.10
  5. Step 5: Solve for x
    x = 2,403,588.10/1,744.20
  6. Step 6: Final answer
    x = 1,378.05

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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.