Home / 546.06-821.85-409.80

Finding the Fourth Proportional to 546.06, 821.85 and 409.80

Calculator

Solution

The fourth proportional to 546.06, 821.85 and 409.80 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.06 : 821.85 = 409.80 : x
  2. Step 2: Convert to fraction form
    546.06/821.85 = 409.80/x
  3. Step 3: Cross multiply
    546.06x = 821.85 × 409.80
  4. Step 4: Simplify right side
    546.06x = 336,794.13
  5. Step 5: Solve for x
    x = 336,794.13/546.06
  6. Step 6: Final answer
    x = 616.77

Related Problems

Find fourth proportional to 273.03, 410.93 and 204.90
Half scale
Find fourth proportional to 1,092.12, 1,643.70 and 819.60
Double scale
Find fourth proportional to 547.06, 823.36 and 410.80
Similar ratio
Find fourth proportional to 819.09, 1,232.78 and 614.70
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.