Home / 1,023.50-1,535.25-254

Finding the Fourth Proportional to 1,023.50, 1,535.25 and 254

Calculator

Solution

The fourth proportional to 1,023.50, 1,535.25 and 254 is: 381

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.50 : 1,535.25 = 254 : x
  2. Step 2: Convert to fraction form
    1,023.50/1,535.25 = 254/x
  3. Step 3: Cross multiply
    1,023.50x = 1,535.25 × 254
  4. Step 4: Simplify right side
    1,023.50x = 389,953.50
  5. Step 5: Solve for x
    x = 389,953.50/1,023.50
  6. Step 6: Final answer
    x = 381

Related Problems

Find fourth proportional to 511.75, 767.63 and 127
Half scale
Find fourth proportional to 2,047, 3,070.50 and 508
Double scale
Find fourth proportional to 1,024.50, 1,536.75 and 255
Similar ratio
Find fourth proportional to 1,535.25, 2,302.88 and 381
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.