Home / 412.88-570-282.08

Finding the Fourth Proportional to 412.88, 570 and 282.08

Calculator

Solution

The fourth proportional to 412.88, 570 and 282.08 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.88 : 570 = 282.08 : x
  2. Step 2: Convert to fraction form
    412.88/570 = 282.08/x
  3. Step 3: Cross multiply
    412.88x = 570 × 282.08
  4. Step 4: Simplify right side
    412.88x = 160,785.60
  5. Step 5: Solve for x
    x = 160,785.60/412.88
  6. Step 6: Final answer
    x = 389.42

Related Problems

Find fourth proportional to 206.44, 285 and 141.04
Half scale
Find fourth proportional to 825.76, 1,140 and 564.16
Double scale
Find fourth proportional to 413.88, 571.38 and 283.08
Similar ratio
Find fourth proportional to 619.32, 855 and 423.12
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.