Home / 762.16-1,051.78-412.85

Finding the Fourth Proportional to 762.16, 1,051.78 and 412.85

Calculator

Solution

The fourth proportional to 762.16, 1,051.78 and 412.85 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.16 : 1,051.78 = 412.85 : x
  2. Step 2: Convert to fraction form
    762.16/1,051.78 = 412.85/x
  3. Step 3: Cross multiply
    762.16x = 1,051.78 × 412.85
  4. Step 4: Simplify right side
    762.16x = 434,220.05
  5. Step 5: Solve for x
    x = 434,220.05/762.16
  6. Step 6: Final answer
    x = 569.72

Related Problems

Find fourth proportional to 381.08, 525.89 and 206.42
Half scale
Find fourth proportional to 1,524.32, 2,103.55 and 825.69
Double scale
Find fourth proportional to 763.16, 1,053.15 and 413.85
Similar ratio
Find fourth proportional to 1,143.24, 1,577.66 and 619.27
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.