Home / 668.41-1,003.13-464.41

Finding the Fourth Proportional to 668.41, 1,003.13 and 464.41

Calculator

Solution

The fourth proportional to 668.41, 1,003.13 and 464.41 is: 696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.41 : 1,003.13 = 464.41 : x
  2. Step 2: Convert to fraction form
    668.41/1,003.13 = 464.41/x
  3. Step 3: Cross multiply
    668.41x = 1,003.13 × 464.41
  4. Step 4: Simplify right side
    668.41x = 465,863.60
  5. Step 5: Solve for x
    x = 465,863.60/668.41
  6. Step 6: Final answer
    x = 696.97

Related Problems

Find fourth proportional to 334.21, 501.57 and 232.21
Half scale
Find fourth proportional to 1,336.82, 2,006.26 and 928.82
Double scale
Find fourth proportional to 669.41, 1,004.63 and 465.41
Similar ratio
Find fourth proportional to 1,002.62, 1,504.70 and 696.62
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.