Home / 1,744.30-2,407.12-998.25

Finding the Fourth Proportional to 1,744.30, 2,407.12 and 998.25

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Solution

The fourth proportional to 1,744.30, 2,407.12 and 998.25 is: 1,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.30 : 2,407.12 = 998.25 : x
  2. Step 2: Convert to fraction form
    1,744.30/2,407.12 = 998.25/x
  3. Step 3: Cross multiply
    1,744.30x = 2,407.12 × 998.25
  4. Step 4: Simplify right side
    1,744.30x = 2,402,907.54
  5. Step 5: Solve for x
    x = 2,402,907.54/1,744.30
  6. Step 6: Final answer
    x = 1,377.58

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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.