Home / 466.15-698.68-412.15

Finding the Fourth Proportional to 466.15, 698.68 and 412.15

Calculator

Solution

The fourth proportional to 466.15, 698.68 and 412.15 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.15 : 698.68 = 412.15 : x
  2. Step 2: Convert to fraction form
    466.15/698.68 = 412.15/x
  3. Step 3: Cross multiply
    466.15x = 698.68 × 412.15
  4. Step 4: Simplify right side
    466.15x = 287,959.73
  5. Step 5: Solve for x
    x = 287,959.73/466.15
  6. Step 6: Final answer
    x = 617.74

Related Problems

Find fourth proportional to 233.07, 349.34 and 206.07
Half scale
Find fourth proportional to 932.30, 1,397.36 and 824.30
Double scale
Find fourth proportional to 467.15, 700.18 and 413.15
Similar ratio
Find fourth proportional to 699.22, 1,048.02 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.