Home / 1,006-1,509-322

Finding the Fourth Proportional to 1,006, 1,509 and 322

Calculator

Solution

The fourth proportional to 1,006, 1,509 and 322 is: 483

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006 : 1,509 = 322 : x
  2. Step 2: Convert to fraction form
    1,006/1,509 = 322/x
  3. Step 3: Cross multiply
    1,006x = 1,509 × 322
  4. Step 4: Simplify right side
    1,006x = 485,898
  5. Step 5: Solve for x
    x = 485,898/1,006
  6. Step 6: Final answer
    x = 483

Related Problems

Find fourth proportional to 503, 754.50 and 161
Half scale
Find fourth proportional to 2,012, 3,018 and 644
Double scale
Find fourth proportional to 1,007, 1,510.50 and 323
Similar ratio
Find fourth proportional to 1,509, 2,263.50 and 483
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.