Home / 828.24-1,242-315.12

Finding the Fourth Proportional to 828.24, 1,242 and 315.12

Calculator

Solution

The fourth proportional to 828.24, 1,242 and 315.12 is: 472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,242 = 315.12 : x
  2. Step 2: Convert to fraction form
    828.24/1,242 = 315.12/x
  3. Step 3: Cross multiply
    828.24x = 1,242 × 315.12
  4. Step 4: Simplify right side
    828.24x = 391,379.04
  5. Step 5: Solve for x
    x = 391,379.04/828.24
  6. Step 6: Final answer
    x = 472.54

Related Problems

Find fourth proportional to 414.12, 621 and 157.56
Half scale
Find fourth proportional to 1,656.48, 2,484 and 630.24
Double scale
Find fourth proportional to 829.24, 1,243.50 and 316.12
Similar ratio
Find fourth proportional to 1,242.36, 1,863 and 472.68
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.