Home / 461.52-635.40-413.84

Finding the Fourth Proportional to 461.52, 635.40 and 413.84

Calculator

Solution

The fourth proportional to 461.52, 635.40 and 413.84 is: 569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 635.40 = 413.84 : x
  2. Step 2: Convert to fraction form
    461.52/635.40 = 413.84/x
  3. Step 3: Cross multiply
    461.52x = 635.40 × 413.84
  4. Step 4: Simplify right side
    461.52x = 262,953.94
  5. Step 5: Solve for x
    x = 262,953.94/461.52
  6. Step 6: Final answer
    x = 569.76

Related Problems

Find fourth proportional to 230.76, 317.70 and 206.92
Half scale
Find fourth proportional to 923.04, 1,270.80 and 827.68
Double scale
Find fourth proportional to 462.52, 636.78 and 414.84
Similar ratio
Find fourth proportional to 692.28, 953.10 and 620.76
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.