Home / 656.94-984.12-309.78

Finding the Fourth Proportional to 656.94, 984.12 and 309.78

Calculator

Solution

The fourth proportional to 656.94, 984.12 and 309.78 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.94 : 984.12 = 309.78 : x
  2. Step 2: Convert to fraction form
    656.94/984.12 = 309.78/x
  3. Step 3: Cross multiply
    656.94x = 984.12 × 309.78
  4. Step 4: Simplify right side
    656.94x = 304,860.69
  5. Step 5: Solve for x
    x = 304,860.69/656.94
  6. Step 6: Final answer
    x = 464.06

Related Problems

Find fourth proportional to 328.47, 492.06 and 154.89
Half scale
Find fourth proportional to 1,313.88, 1,968.24 and 619.56
Double scale
Find fourth proportional to 657.94, 985.62 and 310.78
Similar ratio
Find fourth proportional to 985.41, 1,476.18 and 464.67
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.