Home / 828-1,142.20-516.96

Finding the Fourth Proportional to 828, 1,142.20 and 516.96

Calculator

Solution

The fourth proportional to 828, 1,142.20 and 516.96 is: 713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 1,142.20 = 516.96 : x
  2. Step 2: Convert to fraction form
    828/1,142.20 = 516.96/x
  3. Step 3: Cross multiply
    828x = 1,142.20 × 516.96
  4. Step 4: Simplify right side
    828x = 590,471.71
  5. Step 5: Solve for x
    x = 590,471.71/828
  6. Step 6: Final answer
    x = 713.13

Related Problems

Find fourth proportional to 414, 571.10 and 258.48
Half scale
Find fourth proportional to 1,656, 2,284.40 and 1,033.92
Double scale
Find fourth proportional to 829, 1,143.58 and 517.96
Similar ratio
Find fourth proportional to 1,242, 1,713.30 and 775.44
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.