Home / 465.30-697.32-413.46

Finding the Fourth Proportional to 465.30, 697.32 and 413.46

Calculator

Solution

The fourth proportional to 465.30, 697.32 and 413.46 is: 619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.30 : 697.32 = 413.46 : x
  2. Step 2: Convert to fraction form
    465.30/697.32 = 413.46/x
  3. Step 3: Cross multiply
    465.30x = 697.32 × 413.46
  4. Step 4: Simplify right side
    465.30x = 288,313.93
  5. Step 5: Solve for x
    x = 288,313.93/465.30
  6. Step 6: Final answer
    x = 619.63

Related Problems

Find fourth proportional to 232.65, 348.66 and 206.73
Half scale
Find fourth proportional to 930.60, 1,394.64 and 826.92
Double scale
Find fourth proportional to 466.30, 698.82 and 414.46
Similar ratio
Find fourth proportional to 697.95, 1,045.98 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.