Home / 461.09-691.39-172.32

Finding the Fourth Proportional to 461.09, 691.39 and 172.32

Calculator

Solution

The fourth proportional to 461.09, 691.39 and 172.32 is: 258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.09 : 691.39 = 172.32 : x
  2. Step 2: Convert to fraction form
    461.09/691.39 = 172.32/x
  3. Step 3: Cross multiply
    461.09x = 691.39 × 172.32
  4. Step 4: Simplify right side
    461.09x = 119,140.32
  5. Step 5: Solve for x
    x = 119,140.32/461.09
  6. Step 6: Final answer
    x = 258.39

Related Problems

Find fourth proportional to 230.55, 345.70 and 86.16
Half scale
Find fourth proportional to 922.18, 1,382.78 and 344.64
Double scale
Find fourth proportional to 462.09, 692.89 and 173.32
Similar ratio
Find fourth proportional to 691.64, 1,037.09 and 258.48
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.