Home / 820.10-1,229.40-409.02

Finding the Fourth Proportional to 820.10, 1,229.40 and 409.02

Calculator

Solution

The fourth proportional to 820.10, 1,229.40 and 409.02 is: 613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.10 : 1,229.40 = 409.02 : x
  2. Step 2: Convert to fraction form
    820.10/1,229.40 = 409.02/x
  3. Step 3: Cross multiply
    820.10x = 1,229.40 × 409.02
  4. Step 4: Simplify right side
    820.10x = 502,849.19
  5. Step 5: Solve for x
    x = 502,849.19/820.10
  6. Step 6: Final answer
    x = 613.16

Related Problems

Find fourth proportional to 410.05, 614.70 and 204.51
Half scale
Find fourth proportional to 1,640.19, 2,458.80 and 818.04
Double scale
Find fourth proportional to 821.10, 1,230.90 and 410.02
Similar ratio
Find fourth proportional to 1,230.14, 1,844.10 and 613.53
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.