Proportional Relationship
Checker

Proportional Table Checker

Enter table values to test whether the relationship is proportional and identify the constant.

k = y₁÷x₁ = y₂÷x₂ = y₃÷x₃

Each y÷x must equal the same constant k

Enter each row from your table below

x
y

How to use this checker

Enter x and y value pairs from your table. The checker divides y by x for each pair to find k and verifies consistency.

What this means in math class

Table checking is the most common proportional relationship test. Every set of curriculum materials uses it.

Worked examples

Example 1: Proportional table

x=2,y=8 | x=3,y=12 | x=5,y=20

  1. Step 1:Row 1: 8÷2 = 4
  2. Step 2:Row 2: 12÷3 = 4
  3. Step 3:Row 3: 20÷5 = 4
  4. Step 4:All ratios equal 4
Answer: ✅ Table IS proportional (k = 4, y = 4x)

Example 2: Non-proportional table

x=1,y=4 | x=2,y=7 | x=3,y=10

  1. Step 1:Row 1: 4÷1 = 4
  2. Step 2:Row 2: 7÷2 = 3.5
  3. Step 3:Row 3: 10÷3 = 3.33
  4. Step 4:Ratios are not equal
Answer: ❌ Table is NOT proportional

Frequently asked questions

How do I check a table for proportionality?

Divide y by x for every row. If all divisions give the same number, it's proportional.

What if x=0 in my table?

Skip that row. But if x=0 and y≠0, the relationship cannot be proportional.

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Related lessons

how to tell if a table is proportionalcommon mistakes in proportional relationships

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