Home / 471.38-706.38-413.46

Finding the Fourth Proportional to 471.38, 706.38 and 413.46

Calculator

Solution

The fourth proportional to 471.38, 706.38 and 413.46 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.38 : 706.38 = 413.46 : x
  2. Step 2: Convert to fraction form
    471.38/706.38 = 413.46/x
  3. Step 3: Cross multiply
    471.38x = 706.38 × 413.46
  4. Step 4: Simplify right side
    471.38x = 292,059.87
  5. Step 5: Solve for x
    x = 292,059.87/471.38
  6. Step 6: Final answer
    x = 619.59

Related Problems

Find fourth proportional to 235.69, 353.19 and 206.73
Half scale
Find fourth proportional to 942.75, 1,412.76 and 826.92
Double scale
Find fourth proportional to 472.38, 707.88 and 414.46
Similar ratio
Find fourth proportional to 707.06, 1,059.57 and 620.19
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.