Home / 685.86-1,029.05-412.15

Finding the Fourth Proportional to 685.86, 1,029.05 and 412.15

Calculator

Solution

The fourth proportional to 685.86, 1,029.05 and 412.15 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 1,029.05 = 412.15 : x
  2. Step 2: Convert to fraction form
    685.86/1,029.05 = 412.15/x
  3. Step 3: Cross multiply
    685.86x = 1,029.05 × 412.15
  4. Step 4: Simplify right side
    685.86x = 424,121.80
  5. Step 5: Solve for x
    x = 424,121.80/685.86
  6. Step 6: Final answer
    x = 618.38

Related Problems

Find fourth proportional to 342.93, 514.52 and 206.07
Half scale
Find fourth proportional to 1,371.72, 2,058.10 and 824.30
Double scale
Find fourth proportional to 686.86, 1,030.55 and 413.15
Similar ratio
Find fourth proportional to 1,028.79, 1,543.57 and 618.22
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.