Home / 574.82-862.31-209.78

Finding the Fourth Proportional to 574.82, 862.31 and 209.78

Calculator

Solution

The fourth proportional to 574.82, 862.31 and 209.78 is: 314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.82 : 862.31 = 209.78 : x
  2. Step 2: Convert to fraction form
    574.82/862.31 = 209.78/x
  3. Step 3: Cross multiply
    574.82x = 862.31 × 209.78
  4. Step 4: Simplify right side
    574.82x = 180,895.39
  5. Step 5: Solve for x
    x = 180,895.39/574.82
  6. Step 6: Final answer
    x = 314.70

Related Problems

Find fourth proportional to 287.41, 431.16 and 104.89
Half scale
Find fourth proportional to 1,149.64, 1,724.62 and 419.56
Double scale
Find fourth proportional to 575.82, 863.81 and 210.78
Similar ratio
Find fourth proportional to 862.23, 1,293.47 and 314.67
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.