Home / 435.76-653.64-106.70

Finding the Fourth Proportional to 435.76, 653.64 and 106.70

Calculator

Solution

The fourth proportional to 435.76, 653.64 and 106.70 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.76 : 653.64 = 106.70 : x
  2. Step 2: Convert to fraction form
    435.76/653.64 = 106.70/x
  3. Step 3: Cross multiply
    435.76x = 653.64 × 106.70
  4. Step 4: Simplify right side
    435.76x = 69,741.75
  5. Step 5: Solve for x
    x = 69,741.75/435.76
  6. Step 6: Final answer
    x = 160.05

Related Problems

Find fourth proportional to 217.88, 326.82 and 53.35
Half scale
Find fourth proportional to 871.52, 1,307.28 and 213.40
Double scale
Find fourth proportional to 436.76, 655.14 and 107.70
Similar ratio
Find fourth proportional to 653.64, 980.46 and 160.05
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.