Home / 824.24-1,235.70-413.16

Finding the Fourth Proportional to 824.24, 1,235.70 and 413.16

Calculator

Solution

The fourth proportional to 824.24, 1,235.70 and 413.16 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.24 : 1,235.70 = 413.16 : x
  2. Step 2: Convert to fraction form
    824.24/1,235.70 = 413.16/x
  3. Step 3: Cross multiply
    824.24x = 1,235.70 × 413.16
  4. Step 4: Simplify right side
    824.24x = 510,541.81
  5. Step 5: Solve for x
    x = 510,541.81/824.24
  6. Step 6: Final answer
    x = 619.41

Related Problems

Find fourth proportional to 412.12, 617.85 and 206.58
Half scale
Find fourth proportional to 1,648.48, 2,471.40 and 826.32
Double scale
Find fourth proportional to 825.24, 1,237.20 and 414.16
Similar ratio
Find fourth proportional to 1,236.36, 1,853.55 and 619.74
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.