Home / 471.54-706.86-309.34

Finding the Fourth Proportional to 471.54, 706.86 and 309.34

Calculator

Solution

The fourth proportional to 471.54, 706.86 and 309.34 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.54 : 706.86 = 309.34 : x
  2. Step 2: Convert to fraction form
    471.54/706.86 = 309.34/x
  3. Step 3: Cross multiply
    471.54x = 706.86 × 309.34
  4. Step 4: Simplify right side
    471.54x = 218,660.07
  5. Step 5: Solve for x
    x = 218,660.07/471.54
  6. Step 6: Final answer
    x = 463.71

Related Problems

Find fourth proportional to 235.77, 353.43 and 154.67
Half scale
Find fourth proportional to 943.08, 1,413.72 and 618.68
Double scale
Find fourth proportional to 472.54, 708.36 and 310.34
Similar ratio
Find fourth proportional to 707.31, 1,060.29 and 464.01
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.