Home / 1,706.50-2,558-827.70

Finding the Fourth Proportional to 1,706.50, 2,558 and 827.70

Calculator

Solution

The fourth proportional to 1,706.50, 2,558 and 827.70 is: 1,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.50 : 2,558 = 827.70 : x
  2. Step 2: Convert to fraction form
    1,706.50/2,558 = 827.70/x
  3. Step 3: Cross multiply
    1,706.50x = 2,558 × 827.70
  4. Step 4: Simplify right side
    1,706.50x = 2,117,256.60
  5. Step 5: Solve for x
    x = 2,117,256.60/1,706.50
  6. Step 6: Final answer
    x = 1,240.70

Related Problems

Find fourth proportional to 853.25, 1,279 and 413.85
Half scale
Find fourth proportional to 3,413, 5,116 and 1,655.40
Double scale
Find fourth proportional to 1,707.50, 2,559.50 and 828.70
Similar ratio
Find fourth proportional to 2,559.75, 3,837 and 1,241.55
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.