Home / 515.86-712.78-406.20

Finding the Fourth Proportional to 515.86, 712.78 and 406.20

Calculator

Solution

The fourth proportional to 515.86, 712.78 and 406.20 is: 561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.86 : 712.78 = 406.20 : x
  2. Step 2: Convert to fraction form
    515.86/712.78 = 406.20/x
  3. Step 3: Cross multiply
    515.86x = 712.78 × 406.20
  4. Step 4: Simplify right side
    515.86x = 289,530.22
  5. Step 5: Solve for x
    x = 289,530.22/515.86
  6. Step 6: Final answer
    x = 561.26

Related Problems

Find fourth proportional to 257.93, 356.39 and 203.10
Half scale
Find fourth proportional to 1,031.72, 1,425.56 and 812.40
Double scale
Find fourth proportional to 516.86, 714.16 and 407.20
Similar ratio
Find fourth proportional to 773.79, 1,069.17 and 609.30
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.