Home / 1,072-1,608-302.52

Finding the Fourth Proportional to 1,072, 1,608 and 302.52

Calculator

Solution

The fourth proportional to 1,072, 1,608 and 302.52 is: 453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072 : 1,608 = 302.52 : x
  2. Step 2: Convert to fraction form
    1,072/1,608 = 302.52/x
  3. Step 3: Cross multiply
    1,072x = 1,608 × 302.52
  4. Step 4: Simplify right side
    1,072x = 486,452.16
  5. Step 5: Solve for x
    x = 486,452.16/1,072
  6. Step 6: Final answer
    x = 453.78

Related Problems

Find fourth proportional to 536, 804 and 151.26
Half scale
Find fourth proportional to 2,144, 3,216 and 605.04
Double scale
Find fourth proportional to 1,073, 1,609.50 and 303.52
Similar ratio
Find fourth proportional to 1,608, 2,412 and 453.78
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.