Home / 722.76-1,084.12-312

Finding the Fourth Proportional to 722.76, 1,084.12 and 312

Calculator

Solution

The fourth proportional to 722.76, 1,084.12 and 312 is: 467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.76 : 1,084.12 = 312 : x
  2. Step 2: Convert to fraction form
    722.76/1,084.12 = 312/x
  3. Step 3: Cross multiply
    722.76x = 1,084.12 × 312
  4. Step 4: Simplify right side
    722.76x = 338,245.44
  5. Step 5: Solve for x
    x = 338,245.44/722.76
  6. Step 6: Final answer
    x = 467.99

Related Problems

Find fourth proportional to 361.38, 542.06 and 156
Half scale
Find fourth proportional to 1,445.52, 2,168.24 and 624
Double scale
Find fourth proportional to 723.76, 1,085.62 and 313
Similar ratio
Find fourth proportional to 1,084.14, 1,626.18 and 468
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.