Home / 600-900-258.24

Finding the Fourth Proportional to 600, 900 and 258.24

Calculator

Solution

The fourth proportional to 600, 900 and 258.24 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 900 = 258.24 : x
  2. Step 2: Convert to fraction form
    600/900 = 258.24/x
  3. Step 3: Cross multiply
    600x = 900 × 258.24
  4. Step 4: Simplify right side
    600x = 232,416
  5. Step 5: Solve for x
    x = 232,416/600
  6. Step 6: Final answer
    x = 387.36

Related Problems

Find fourth proportional to 300, 450 and 129.12
Half scale
Find fourth proportional to 1,200, 1,800 and 516.48
Double scale
Find fourth proportional to 601, 901.50 and 259.24
Similar ratio
Find fourth proportional to 900, 1,350 and 387.36
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.