Home / 1,635-2,452.50-419

Finding the Fourth Proportional to 1,635, 2,452.50 and 419

Calculator

Solution

The fourth proportional to 1,635, 2,452.50 and 419 is: 628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635 : 2,452.50 = 419 : x
  2. Step 2: Convert to fraction form
    1,635/2,452.50 = 419/x
  3. Step 3: Cross multiply
    1,635x = 2,452.50 × 419
  4. Step 4: Simplify right side
    1,635x = 1,027,597.50
  5. Step 5: Solve for x
    x = 1,027,597.50/1,635
  6. Step 6: Final answer
    x = 628.50

Related Problems

Find fourth proportional to 817.50, 1,226.25 and 209.50
Half scale
Find fourth proportional to 3,270, 4,905 and 838
Double scale
Find fourth proportional to 1,636, 2,454 and 420
Similar ratio
Find fourth proportional to 2,452.50, 3,678.75 and 628.50
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.