Home / 1,022-1,533-338

Finding the Fourth Proportional to 1,022, 1,533 and 338

Calculator

Solution

The fourth proportional to 1,022, 1,533 and 338 is: 507

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022 : 1,533 = 338 : x
  2. Step 2: Convert to fraction form
    1,022/1,533 = 338/x
  3. Step 3: Cross multiply
    1,022x = 1,533 × 338
  4. Step 4: Simplify right side
    1,022x = 518,154
  5. Step 5: Solve for x
    x = 518,154/1,022
  6. Step 6: Final answer
    x = 507

Related Problems

Find fourth proportional to 511, 766.50 and 169
Half scale
Find fourth proportional to 2,044, 3,066 and 676
Double scale
Find fourth proportional to 1,023, 1,534.50 and 339
Similar ratio
Find fourth proportional to 1,533, 2,299.50 and 507
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.