Home / 1,074.20-1,617.92-998.15

Finding the Fourth Proportional to 1,074.20, 1,617.92 and 998.15

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Solution

The fourth proportional to 1,074.20, 1,617.92 and 998.15 is: 1,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.20 : 1,617.92 = 998.15 : x
  2. Step 2: Convert to fraction form
    1,074.20/1,617.92 = 998.15/x
  3. Step 3: Cross multiply
    1,074.20x = 1,617.92 × 998.15
  4. Step 4: Simplify right side
    1,074.20x = 1,614,917.51
  5. Step 5: Solve for x
    x = 1,614,917.51/1,074.20
  6. Step 6: Final answer
    x = 1,503.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.