Home / 405.64-559.19-289.00

Finding the Fourth Proportional to 405.64, 559.19 and 289.00

Calculator

Solution

The fourth proportional to 405.64, 559.19 and 289.00 is: 398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.64 : 559.19 = 289.00 : x
  2. Step 2: Convert to fraction form
    405.64/559.19 = 289.00/x
  3. Step 3: Cross multiply
    405.64x = 559.19 × 289.00
  4. Step 4: Simplify right side
    405.64x = 161,604.73
  5. Step 5: Solve for x
    x = 161,604.73/405.64
  6. Step 6: Final answer
    x = 398.40

Related Problems

Find fourth proportional to 202.82, 279.60 and 144.50
Half scale
Find fourth proportional to 811.27, 1,118.39 and 577.99
Double scale
Find fourth proportional to 406.64, 560.57 and 290
Similar ratio
Find fourth proportional to 608.45, 838.79 and 433.49
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.