Home / 1,509.39-2,264.31-469.50

Finding the Fourth Proportional to 1,509.39, 2,264.31 and 469.50

Calculator

Solution

The fourth proportional to 1,509.39, 2,264.31 and 469.50 is: 704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.39 : 2,264.31 = 469.50 : x
  2. Step 2: Convert to fraction form
    1,509.39/2,264.31 = 469.50/x
  3. Step 3: Cross multiply
    1,509.39x = 2,264.31 × 469.50
  4. Step 4: Simplify right side
    1,509.39x = 1,063,093.55
  5. Step 5: Solve for x
    x = 1,063,093.55/1,509.39
  6. Step 6: Final answer
    x = 704.32

Related Problems

Find fourth proportional to 754.70, 1,132.16 and 234.75
Half scale
Find fourth proportional to 3,018.78, 4,528.62 and 939
Double scale
Find fourth proportional to 1,510.39, 2,265.81 and 470.50
Similar ratio
Find fourth proportional to 2,264.09, 3,396.47 and 704.25
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.