Home / 686.73-1,028.79-412.02

Finding the Fourth Proportional to 686.73, 1,028.79 and 412.02

Calculator

Solution

The fourth proportional to 686.73, 1,028.79 and 412.02 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.73 : 1,028.79 = 412.02 : x
  2. Step 2: Convert to fraction form
    686.73/1,028.79 = 412.02/x
  3. Step 3: Cross multiply
    686.73x = 1,028.79 × 412.02
  4. Step 4: Simplify right side
    686.73x = 423,882.06
  5. Step 5: Solve for x
    x = 423,882.06/686.73
  6. Step 6: Final answer
    x = 617.25

Related Problems

Find fourth proportional to 343.37, 514.40 and 206.01
Half scale
Find fourth proportional to 1,373.46, 2,057.58 and 824.04
Double scale
Find fourth proportional to 687.73, 1,030.29 and 413.02
Similar ratio
Find fourth proportional to 1,030.10, 1,543.19 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.