Home / 782.40-1,171.44-457.20

Finding the Fourth Proportional to 782.40, 1,171.44 and 457.20

Calculator

Solution

The fourth proportional to 782.40, 1,171.44 and 457.20 is: 684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.40 : 1,171.44 = 457.20 : x
  2. Step 2: Convert to fraction form
    782.40/1,171.44 = 457.20/x
  3. Step 3: Cross multiply
    782.40x = 1,171.44 × 457.20
  4. Step 4: Simplify right side
    782.40x = 535,582.37
  5. Step 5: Solve for x
    x = 535,582.37/782.40
  6. Step 6: Final answer
    x = 684.54

Related Problems

Find fourth proportional to 391.20, 585.72 and 228.60
Half scale
Find fourth proportional to 1,564.80, 2,342.88 and 914.40
Double scale
Find fourth proportional to 783.40, 1,172.94 and 458.20
Similar ratio
Find fourth proportional to 1,173.60, 1,757.16 and 685.80
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.