Home / 411.47-617.48-309

Finding the Fourth Proportional to 411.47, 617.48 and 309

Calculator

Solution

The fourth proportional to 411.47, 617.48 and 309 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 617.48 = 309 : x
  2. Step 2: Convert to fraction form
    411.47/617.48 = 309/x
  3. Step 3: Cross multiply
    411.47x = 617.48 × 309
  4. Step 4: Simplify right side
    411.47x = 190,799.78
  5. Step 5: Solve for x
    x = 190,799.78/411.47
  6. Step 6: Final answer
    x = 463.71

Related Problems

Find fourth proportional to 205.73, 308.74 and 154.50
Half scale
Find fourth proportional to 822.93, 1,234.95 and 618
Double scale
Find fourth proportional to 412.47, 618.98 and 310
Similar ratio
Find fourth proportional to 617.20, 926.21 and 463.50
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.