Home / 809.52-1,214.32-232.38

Finding the Fourth Proportional to 809.52, 1,214.32 and 232.38

Calculator

Solution

The fourth proportional to 809.52, 1,214.32 and 232.38 is: 348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,214.32 = 232.38 : x
  2. Step 2: Convert to fraction form
    809.52/1,214.32 = 232.38/x
  3. Step 3: Cross multiply
    809.52x = 1,214.32 × 232.38
  4. Step 4: Simplify right side
    809.52x = 282,177.61
  5. Step 5: Solve for x
    x = 282,177.61/809.52
  6. Step 6: Final answer
    x = 348.58

Related Problems

Find fourth proportional to 404.76, 607.16 and 116.19
Half scale
Find fourth proportional to 1,619.03, 2,428.64 and 464.75
Double scale
Find fourth proportional to 810.52, 1,215.82 and 233.38
Similar ratio
Find fourth proportional to 1,214.27, 1,821.48 and 348.56
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.