Home / 1,282.58-1,770-778.76

Finding the Fourth Proportional to 1,282.58, 1,770 and 778.76

Calculator

Solution

The fourth proportional to 1,282.58, 1,770 and 778.76 is: 1,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.58 : 1,770 = 778.76 : x
  2. Step 2: Convert to fraction form
    1,282.58/1,770 = 778.76/x
  3. Step 3: Cross multiply
    1,282.58x = 1,770 × 778.76
  4. Step 4: Simplify right side
    1,282.58x = 1,378,405.20
  5. Step 5: Solve for x
    x = 1,378,405.20/1,282.58
  6. Step 6: Final answer
    x = 1,074.71

Related Problems

Find fourth proportional to 641.29, 885 and 389.38
Half scale
Find fourth proportional to 2,565.16, 3,540 and 1,557.52
Double scale
Find fourth proportional to 1,283.58, 1,771.38 and 779.76
Similar ratio
Find fourth proportional to 1,923.87, 2,655 and 1,168.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.