Home / 584.20-806.34-418.78

Finding the Fourth Proportional to 584.20, 806.34 and 418.78

Calculator

Solution

The fourth proportional to 584.20, 806.34 and 418.78 is: 578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 806.34 = 418.78 : x
  2. Step 2: Convert to fraction form
    584.20/806.34 = 418.78/x
  3. Step 3: Cross multiply
    584.20x = 806.34 × 418.78
  4. Step 4: Simplify right side
    584.20x = 337,679.07
  5. Step 5: Solve for x
    x = 337,679.07/584.20
  6. Step 6: Final answer
    x = 578.02

Related Problems

Find fourth proportional to 292.10, 403.17 and 209.39
Half scale
Find fourth proportional to 1,168.40, 1,612.68 and 837.56
Double scale
Find fourth proportional to 585.20, 807.72 and 419.78
Similar ratio
Find fourth proportional to 876.30, 1,209.51 and 628.17
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.