Home / 650.40-974.96-419.20

Finding the Fourth Proportional to 650.40, 974.96 and 419.20

Calculator

Solution

The fourth proportional to 650.40, 974.96 and 419.20 is: 628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 974.96 = 419.20 : x
  2. Step 2: Convert to fraction form
    650.40/974.96 = 419.20/x
  3. Step 3: Cross multiply
    650.40x = 974.96 × 419.20
  4. Step 4: Simplify right side
    650.40x = 408,703.23
  5. Step 5: Solve for x
    x = 408,703.23/650.40
  6. Step 6: Final answer
    x = 628.39

Related Problems

Find fourth proportional to 325.20, 487.48 and 209.60
Half scale
Find fourth proportional to 1,300.80, 1,949.92 and 838.40
Double scale
Find fourth proportional to 651.40, 976.46 and 420.20
Similar ratio
Find fourth proportional to 975.60, 1,462.44 and 628.80
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.