Home / 982.12-1,470.54-827.68

Finding the Fourth Proportional to 982.12, 1,470.54 and 827.68

Calculator

Solution

The fourth proportional to 982.12, 1,470.54 and 827.68 is: 1,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.12 : 1,470.54 = 827.68 : x
  2. Step 2: Convert to fraction form
    982.12/1,470.54 = 827.68/x
  3. Step 3: Cross multiply
    982.12x = 1,470.54 × 827.68
  4. Step 4: Simplify right side
    982.12x = 1,217,136.55
  5. Step 5: Solve for x
    x = 1,217,136.55/982.12
  6. Step 6: Final answer
    x = 1,239.30

Related Problems

Find fourth proportional to 491.06, 735.27 and 413.84
Half scale
Find fourth proportional to 1,964.24, 2,941.08 and 1,655.36
Double scale
Find fourth proportional to 983.12, 1,472.04 and 828.68
Similar ratio
Find fourth proportional to 1,473.18, 2,205.81 and 1,241.52
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.