Home / 777.33-1,165.19-412.02

Finding the Fourth Proportional to 777.33, 1,165.19 and 412.02

Calculator

Solution

The fourth proportional to 777.33, 1,165.19 and 412.02 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.33 : 1,165.19 = 412.02 : x
  2. Step 2: Convert to fraction form
    777.33/1,165.19 = 412.02/x
  3. Step 3: Cross multiply
    777.33x = 1,165.19 × 412.02
  4. Step 4: Simplify right side
    777.33x = 480,079.52
  5. Step 5: Solve for x
    x = 480,079.52/777.33
  6. Step 6: Final answer
    x = 617.60

Related Problems

Find fourth proportional to 388.67, 582.59 and 206.01
Half scale
Find fourth proportional to 1,554.66, 2,330.37 and 824.04
Double scale
Find fourth proportional to 778.33, 1,166.68 and 413.02
Similar ratio
Find fourth proportional to 1,166.00, 1,747.78 and 618.03
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.