Home / 682.80-1,023.56-408.20

Finding the Fourth Proportional to 682.80, 1,023.56 and 408.20

Calculator

Solution

The fourth proportional to 682.80, 1,023.56 and 408.20 is: 611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,023.56 = 408.20 : x
  2. Step 2: Convert to fraction form
    682.80/1,023.56 = 408.20/x
  3. Step 3: Cross multiply
    682.80x = 1,023.56 × 408.20
  4. Step 4: Simplify right side
    682.80x = 417,817.19
  5. Step 5: Solve for x
    x = 417,817.19/682.80
  6. Step 6: Final answer
    x = 611.92

Related Problems

Find fourth proportional to 341.40, 511.78 and 204.10
Half scale
Find fourth proportional to 1,365.60, 2,047.12 and 816.40
Double scale
Find fourth proportional to 683.80, 1,025.06 and 409.20
Similar ratio
Find fourth proportional to 1,024.20, 1,535.34 and 612.30
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.