Home / 820.40-1,229.06-473.90

Finding the Fourth Proportional to 820.40, 1,229.06 and 473.90

Calculator

Solution

The fourth proportional to 820.40, 1,229.06 and 473.90 is: 709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.40 : 1,229.06 = 473.90 : x
  2. Step 2: Convert to fraction form
    820.40/1,229.06 = 473.90/x
  3. Step 3: Cross multiply
    820.40x = 1,229.06 × 473.90
  4. Step 4: Simplify right side
    820.40x = 582,451.53
  5. Step 5: Solve for x
    x = 582,451.53/820.40
  6. Step 6: Final answer
    x = 709.96

Related Problems

Find fourth proportional to 410.20, 614.53 and 236.95
Half scale
Find fourth proportional to 1,640.80, 2,458.12 and 947.80
Double scale
Find fourth proportional to 821.40, 1,230.56 and 474.90
Similar ratio
Find fourth proportional to 1,230.60, 1,843.59 and 710.85
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.