Home / 828.14-1,142.82-478.82

Finding the Fourth Proportional to 828.14, 1,142.82 and 478.82

Calculator

Solution

The fourth proportional to 828.14, 1,142.82 and 478.82 is: 660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,142.82 = 478.82 : x
  2. Step 2: Convert to fraction form
    828.14/1,142.82 = 478.82/x
  3. Step 3: Cross multiply
    828.14x = 1,142.82 × 478.82
  4. Step 4: Simplify right side
    828.14x = 547,205.07
  5. Step 5: Solve for x
    x = 547,205.07/828.14
  6. Step 6: Final answer
    x = 660.76

Related Problems

Find fourth proportional to 414.07, 571.41 and 239.41
Half scale
Find fourth proportional to 1,656.28, 2,285.64 and 957.64
Double scale
Find fourth proportional to 829.14, 1,144.20 and 479.82
Similar ratio
Find fourth proportional to 1,242.21, 1,714.23 and 718.23
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.