Home / 1,600-2,400-688

Finding the Fourth Proportional to 1,600, 2,400 and 688

Calculator

Solution

The fourth proportional to 1,600, 2,400 and 688 is: 1,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600 : 2,400 = 688 : x
  2. Step 2: Convert to fraction form
    1,600/2,400 = 688/x
  3. Step 3: Cross multiply
    1,600x = 2,400 × 688
  4. Step 4: Simplify right side
    1,600x = 1,651,200
  5. Step 5: Solve for x
    x = 1,651,200/1,600
  6. Step 6: Final answer
    x = 1,032

Related Problems

Find fourth proportional to 800, 1,200 and 344
Half scale
Find fourth proportional to 3,200, 4,800 and 1,376
Double scale
Find fourth proportional to 1,601, 2,401.50 and 689
Similar ratio
Find fourth proportional to 2,400, 3,600 and 1,032
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.