Home / 474.59-710.94-311.78

Finding the Fourth Proportional to 474.59, 710.94 and 311.78

Calculator

Solution

The fourth proportional to 474.59, 710.94 and 311.78 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.59 : 710.94 = 311.78 : x
  2. Step 2: Convert to fraction form
    474.59/710.94 = 311.78/x
  3. Step 3: Cross multiply
    474.59x = 710.94 × 311.78
  4. Step 4: Simplify right side
    474.59x = 221,659.82
  5. Step 5: Solve for x
    x = 221,659.82/474.59
  6. Step 6: Final answer
    x = 467.05

Related Problems

Find fourth proportional to 237.30, 355.47 and 155.89
Half scale
Find fourth proportional to 949.19, 1,421.89 and 623.57
Double scale
Find fourth proportional to 475.59, 712.44 and 312.78
Similar ratio
Find fourth proportional to 711.89, 1,066.42 and 467.67
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.