Home / 451.69-677.53-109.69

Finding the Fourth Proportional to 451.69, 677.53 and 109.69

Calculator

Solution

The fourth proportional to 451.69, 677.53 and 109.69 is: 164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.69 : 677.53 = 109.69 : x
  2. Step 2: Convert to fraction form
    451.69/677.53 = 109.69/x
  3. Step 3: Cross multiply
    451.69x = 677.53 × 109.69
  4. Step 4: Simplify right side
    451.69x = 74,316.71
  5. Step 5: Solve for x
    x = 74,316.71/451.69
  6. Step 6: Final answer
    x = 164.53

Related Problems

Find fourth proportional to 225.84, 338.77 and 54.84
Half scale
Find fourth proportional to 903.38, 1,355.06 and 219.38
Double scale
Find fourth proportional to 452.69, 679.03 and 110.69
Similar ratio
Find fourth proportional to 677.53, 1,016.30 and 164.53
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.