Home / 742.66-1,114-309.82

Finding the Fourth Proportional to 742.66, 1,114 and 309.82

Calculator

Solution

The fourth proportional to 742.66, 1,114 and 309.82 is: 464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.66 : 1,114 = 309.82 : x
  2. Step 2: Convert to fraction form
    742.66/1,114 = 309.82/x
  3. Step 3: Cross multiply
    742.66x = 1,114 × 309.82
  4. Step 4: Simplify right side
    742.66x = 345,139.48
  5. Step 5: Solve for x
    x = 345,139.48/742.66
  6. Step 6: Final answer
    x = 464.73

Related Problems

Find fourth proportional to 371.33, 557 and 154.91
Half scale
Find fourth proportional to 1,485.32, 2,228 and 619.64
Double scale
Find fourth proportional to 743.66, 1,115.50 and 310.82
Similar ratio
Find fourth proportional to 1,113.99, 1,671 and 464.73
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.