Home / 1,120.22-1,680.21-298.57

Finding the Fourth Proportional to 1,120.22, 1,680.21 and 298.57

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Solution

The fourth proportional to 1,120.22, 1,680.21 and 298.57 is: 447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.22 : 1,680.21 = 298.57 : x
  2. Step 2: Convert to fraction form
    1,120.22/1,680.21 = 298.57/x
  3. Step 3: Cross multiply
    1,120.22x = 1,680.21 × 298.57
  4. Step 4: Simplify right side
    1,120.22x = 501,655.35
  5. Step 5: Solve for x
    x = 501,655.35/1,120.22
  6. Step 6: Final answer
    x = 447.82

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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.