Home / 653.27-978.48-409.32

Finding the Fourth Proportional to 653.27, 978.48 and 409.32

Calculator

Solution

The fourth proportional to 653.27, 978.48 and 409.32 is: 613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.27 : 978.48 = 409.32 : x
  2. Step 2: Convert to fraction form
    653.27/978.48 = 409.32/x
  3. Step 3: Cross multiply
    653.27x = 978.48 × 409.32
  4. Step 4: Simplify right side
    653.27x = 400,511.43
  5. Step 5: Solve for x
    x = 400,511.43/653.27
  6. Step 6: Final answer
    x = 613.09

Related Problems

Find fourth proportional to 326.63, 489.24 and 204.66
Half scale
Find fourth proportional to 1,306.53, 1,956.96 and 818.64
Double scale
Find fourth proportional to 654.27, 979.98 and 410.32
Similar ratio
Find fourth proportional to 979.90, 1,467.72 and 613.98
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.