Home / 689-1,033.50-299.39

Finding the Fourth Proportional to 689, 1,033.50 and 299.39

Calculator

Solution

The fourth proportional to 689, 1,033.50 and 299.39 is: 449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    689 : 1,033.50 = 299.39 : x
  2. Step 2: Convert to fraction form
    689/1,033.50 = 299.39/x
  3. Step 3: Cross multiply
    689x = 1,033.50 × 299.39
  4. Step 4: Simplify right side
    689x = 309,419.57
  5. Step 5: Solve for x
    x = 309,419.57/689
  6. Step 6: Final answer
    x = 449.09

Related Problems

Find fourth proportional to 344.50, 516.75 and 149.70
Half scale
Find fourth proportional to 1,378, 2,067 and 598.78
Double scale
Find fourth proportional to 690, 1,035 and 300.39
Similar ratio
Find fourth proportional to 1,033.50, 1,550.25 and 449.09
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.