Home / 414.85-622.32-312.34

Finding the Fourth Proportional to 414.85, 622.32 and 312.34

Calculator

Solution

The fourth proportional to 414.85, 622.32 and 312.34 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 622.32 = 312.34 : x
  2. Step 2: Convert to fraction form
    414.85/622.32 = 312.34/x
  3. Step 3: Cross multiply
    414.85x = 622.32 × 312.34
  4. Step 4: Simplify right side
    414.85x = 194,375.43
  5. Step 5: Solve for x
    x = 194,375.43/414.85
  6. Step 6: Final answer
    x = 468.54

Related Problems

Find fourth proportional to 207.43, 311.16 and 156.17
Half scale
Find fourth proportional to 829.70, 1,244.64 and 624.68
Double scale
Find fourth proportional to 415.85, 623.82 and 313.34
Similar ratio
Find fourth proportional to 622.28, 933.48 and 468.51
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.