Home / 1,606-2,409-390

Finding the Fourth Proportional to 1,606, 2,409 and 390

Calculator

Solution

The fourth proportional to 1,606, 2,409 and 390 is: 585

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606 : 2,409 = 390 : x
  2. Step 2: Convert to fraction form
    1,606/2,409 = 390/x
  3. Step 3: Cross multiply
    1,606x = 2,409 × 390
  4. Step 4: Simplify right side
    1,606x = 939,510
  5. Step 5: Solve for x
    x = 939,510/1,606
  6. Step 6: Final answer
    x = 585

Related Problems

Find fourth proportional to 803, 1,204.50 and 195
Half scale
Find fourth proportional to 3,212, 4,818 and 780
Double scale
Find fourth proportional to 1,607, 2,410.50 and 391
Similar ratio
Find fourth proportional to 2,409, 3,613.50 and 585
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.