Home / 667.85-1,002.07-343.04

Finding the Fourth Proportional to 667.85, 1,002.07 and 343.04

Calculator

Solution

The fourth proportional to 667.85, 1,002.07 and 343.04 is: 514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.85 : 1,002.07 = 343.04 : x
  2. Step 2: Convert to fraction form
    667.85/1,002.07 = 343.04/x
  3. Step 3: Cross multiply
    667.85x = 1,002.07 × 343.04
  4. Step 4: Simplify right side
    667.85x = 343,745.51
  5. Step 5: Solve for x
    x = 343,745.51/667.85
  6. Step 6: Final answer
    x = 514.71

Related Problems

Find fourth proportional to 333.92, 501.04 and 171.52
Half scale
Find fourth proportional to 1,335.69, 2,004.14 and 686.07
Double scale
Find fourth proportional to 668.85, 1,003.57 and 344.04
Similar ratio
Find fourth proportional to 1,001.77, 1,503.11 and 514.55
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.