Home / 1,003.44-1,505.52-456

Finding the Fourth Proportional to 1,003.44, 1,505.52 and 456

Calculator

Solution

The fourth proportional to 1,003.44, 1,505.52 and 456 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.44 : 1,505.52 = 456 : x
  2. Step 2: Convert to fraction form
    1,003.44/1,505.52 = 456/x
  3. Step 3: Cross multiply
    1,003.44x = 1,505.52 × 456
  4. Step 4: Simplify right side
    1,003.44x = 686,517.12
  5. Step 5: Solve for x
    x = 686,517.12/1,003.44
  6. Step 6: Final answer
    x = 684.16

Related Problems

Find fourth proportional to 501.72, 752.76 and 228
Half scale
Find fourth proportional to 2,006.88, 3,011.04 and 912
Double scale
Find fourth proportional to 1,004.44, 1,507.02 and 457
Similar ratio
Find fourth proportional to 1,505.16, 2,258.28 and 684
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.