Home / 768.11-1,146.26-686.09

Finding the Fourth Proportional to 768.11, 1,146.26 and 686.09

Calculator

Solution

The fourth proportional to 768.11, 1,146.26 and 686.09 is: 1,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.11 : 1,146.26 = 686.09 : x
  2. Step 2: Convert to fraction form
    768.11/1,146.26 = 686.09/x
  3. Step 3: Cross multiply
    768.11x = 1,146.26 × 686.09
  4. Step 4: Simplify right side
    768.11x = 786,428.36
  5. Step 5: Solve for x
    x = 786,428.36/768.11
  6. Step 6: Final answer
    x = 1,023.86

Related Problems

Find fourth proportional to 384.05, 573.13 and 343.04
Half scale
Find fourth proportional to 1,536.21, 2,292.51 and 1,372.17
Double scale
Find fourth proportional to 769.11, 1,147.75 and 687.09
Similar ratio
Find fourth proportional to 1,152.16, 1,719.38 and 1,029.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.