Home / 685-1,027.66-229

Finding the Fourth Proportional to 685, 1,027.66 and 229

Calculator

Solution

The fourth proportional to 685, 1,027.66 and 229 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 1,027.66 = 229 : x
  2. Step 2: Convert to fraction form
    685/1,027.66 = 229/x
  3. Step 3: Cross multiply
    685x = 1,027.66 × 229
  4. Step 4: Simplify right side
    685x = 235,334.14
  5. Step 5: Solve for x
    x = 235,334.14/685
  6. Step 6: Final answer
    x = 343.55

Related Problems

Find fourth proportional to 342.50, 513.83 and 114.50
Half scale
Find fourth proportional to 1,370, 2,055.32 and 458
Double scale
Find fourth proportional to 686, 1,029.16 and 230
Similar ratio
Find fourth proportional to 1,027.50, 1,541.49 and 343.50
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.