Home / 784-1,176-264

Finding the Fourth Proportional to 784, 1,176 and 264

Calculator

Solution

The fourth proportional to 784, 1,176 and 264 is: 396

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,176 = 264 : x
  2. Step 2: Convert to fraction form
    784/1,176 = 264/x
  3. Step 3: Cross multiply
    784x = 1,176 × 264
  4. Step 4: Simplify right side
    784x = 310,464
  5. Step 5: Solve for x
    x = 310,464/784
  6. Step 6: Final answer
    x = 396

Related Problems

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.