Home / 512-706.56-328

Finding the Fourth Proportional to 512, 706.56 and 328

Calculator

Solution

The fourth proportional to 512, 706.56 and 328 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 706.56 = 328 : x
  2. Step 2: Convert to fraction form
    512/706.56 = 328/x
  3. Step 3: Cross multiply
    512x = 706.56 × 328
  4. Step 4: Simplify right side
    512x = 231,751.68
  5. Step 5: Solve for x
    x = 231,751.68/512
  6. Step 6: Final answer
    x = 452.64

Related Problems

Find fourth proportional to 256, 353.28 and 164
Half scale
Find fourth proportional to 1,024, 1,413.12 and 656
Double scale
Find fourth proportional to 513, 707.94 and 329
Similar ratio
Find fourth proportional to 768, 1,059.84 and 492
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.