Home / 838.20-1,157.28-617.40

Finding the Fourth Proportional to 838.20, 1,157.28 and 617.40

Calculator

Solution

The fourth proportional to 838.20, 1,157.28 and 617.40 is: 852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.20 : 1,157.28 = 617.40 : x
  2. Step 2: Convert to fraction form
    838.20/1,157.28 = 617.40/x
  3. Step 3: Cross multiply
    838.20x = 1,157.28 × 617.40
  4. Step 4: Simplify right side
    838.20x = 714,504.67
  5. Step 5: Solve for x
    x = 714,504.67/838.20
  6. Step 6: Final answer
    x = 852.43

Related Problems

Find fourth proportional to 419.10, 578.64 and 308.70
Half scale
Find fourth proportional to 1,676.40, 2,314.56 and 1,234.80
Double scale
Find fourth proportional to 839.20, 1,158.66 and 618.40
Similar ratio
Find fourth proportional to 1,257.30, 1,735.92 and 926.10
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.