Home / 1,322-1,983-410

Finding the Fourth Proportional to 1,322, 1,983 and 410

Calculator

Solution

The fourth proportional to 1,322, 1,983 and 410 is: 615

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322 : 1,983 = 410 : x
  2. Step 2: Convert to fraction form
    1,322/1,983 = 410/x
  3. Step 3: Cross multiply
    1,322x = 1,983 × 410
  4. Step 4: Simplify right side
    1,322x = 813,030
  5. Step 5: Solve for x
    x = 813,030/1,322
  6. Step 6: Final answer
    x = 615

Related Problems

Find fourth proportional to 661, 991.50 and 205
Half scale
Find fourth proportional to 2,644, 3,966 and 820
Double scale
Find fourth proportional to 1,323, 1,984.50 and 411
Similar ratio
Find fourth proportional to 1,983, 2,974.50 and 615
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.