Home / 674.84-1,012.23-309.38

Finding the Fourth Proportional to 674.84, 1,012.23 and 309.38

Calculator

Solution

The fourth proportional to 674.84, 1,012.23 and 309.38 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.84 : 1,012.23 = 309.38 : x
  2. Step 2: Convert to fraction form
    674.84/1,012.23 = 309.38/x
  3. Step 3: Cross multiply
    674.84x = 1,012.23 × 309.38
  4. Step 4: Simplify right side
    674.84x = 313,163.72
  5. Step 5: Solve for x
    x = 313,163.72/674.84
  6. Step 6: Final answer
    x = 464.06

Related Problems

Find fourth proportional to 337.42, 506.12 and 154.69
Half scale
Find fourth proportional to 1,349.68, 2,024.46 and 618.76
Double scale
Find fourth proportional to 675.84, 1,013.73 and 310.38
Similar ratio
Find fourth proportional to 1,012.26, 1,518.35 and 464.07
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.