Home / 524.22-721.83-413.34

Finding the Fourth Proportional to 524.22, 721.83 and 413.34

Calculator

Solution

The fourth proportional to 524.22, 721.83 and 413.34 is: 569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 721.83 = 413.34 : x
  2. Step 2: Convert to fraction form
    524.22/721.83 = 413.34/x
  3. Step 3: Cross multiply
    524.22x = 721.83 × 413.34
  4. Step 4: Simplify right side
    524.22x = 298,361.21
  5. Step 5: Solve for x
    x = 298,361.21/524.22
  6. Step 6: Final answer
    x = 569.15

Related Problems

Find fourth proportional to 262.11, 360.92 and 206.67
Half scale
Find fourth proportional to 1,048.44, 1,443.66 and 826.68
Double scale
Find fourth proportional to 525.22, 723.21 and 414.34
Similar ratio
Find fourth proportional to 786.33, 1,082.75 and 620.01
1.5x scale

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.