Home / 505.98-758.99-409.05

Finding the Fourth Proportional to 505.98, 758.99 and 409.05

Calculator

Solution

The fourth proportional to 505.98, 758.99 and 409.05 is: 613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.98 : 758.99 = 409.05 : x
  2. Step 2: Convert to fraction form
    505.98/758.99 = 409.05/x
  3. Step 3: Cross multiply
    505.98x = 758.99 × 409.05
  4. Step 4: Simplify right side
    505.98x = 310,462.81
  5. Step 5: Solve for x
    x = 310,462.81/505.98
  6. Step 6: Final answer
    x = 613.59

Related Problems

Find fourth proportional to 252.99, 379.49 and 204.53
Half scale
Find fourth proportional to 1,011.96, 1,517.97 and 818.10
Double scale
Find fourth proportional to 506.98, 760.49 and 410.05
Similar ratio
Find fourth proportional to 758.97, 1,138.48 and 613.58
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.