Home / 945.60-1,416.80-782.40

Finding the Fourth Proportional to 945.60, 1,416.80 and 782.40

Calculator

Solution

The fourth proportional to 945.60, 1,416.80 and 782.40 is: 1,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,416.80 = 782.40 : x
  2. Step 2: Convert to fraction form
    945.60/1,416.80 = 782.40/x
  3. Step 3: Cross multiply
    945.60x = 1,416.80 × 782.40
  4. Step 4: Simplify right side
    945.60x = 1,108,504.32
  5. Step 5: Solve for x
    x = 1,108,504.32/945.60
  6. Step 6: Final answer
    x = 1,172.28

Related Problems

Find fourth proportional to 472.80, 708.40 and 391.20
Half scale
Find fourth proportional to 1,891.20, 2,833.60 and 1,564.80
Double scale
Find fourth proportional to 946.60, 1,418.30 and 783.40
Similar ratio
Find fourth proportional to 1,418.40, 2,125.20 and 1,173.60
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.