Home / 450-675-108

Finding the Fourth Proportional to 450, 675 and 108

Calculator

Solution

The fourth proportional to 450, 675 and 108 is: 162

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 675 = 108 : x
  2. Step 2: Convert to fraction form
    450/675 = 108/x
  3. Step 3: Cross multiply
    450x = 675 × 108
  4. Step 4: Simplify right side
    450x = 72,900
  5. Step 5: Solve for x
    x = 72,900/450
  6. Step 6: Final answer
    x = 162

Related Problems

Find fourth proportional to 225, 337.50 and 54
Half scale
Find fourth proportional to 900, 1,350 and 216
Double scale
Find fourth proportional to 451, 676.50 and 109
Similar ratio
Find fourth proportional to 675, 1,012.50 and 162
1.5x scale

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.