Home / 1,026-1,539-342

Finding the Fourth Proportional to 1,026, 1,539 and 342

Calculator

Solution

The fourth proportional to 1,026, 1,539 and 342 is: 513

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 1,539 = 342 : x
  2. Step 2: Convert to fraction form
    1,026/1,539 = 342/x
  3. Step 3: Cross multiply
    1,026x = 1,539 × 342
  4. Step 4: Simplify right side
    1,026x = 526,338
  5. Step 5: Solve for x
    x = 526,338/1,026
  6. Step 6: Final answer
    x = 513

Related Problems

Find fourth proportional to 513, 769.50 and 171
Half scale
Find fourth proportional to 2,052, 3,078 and 684
Double scale
Find fourth proportional to 1,027, 1,540.50 and 343
Similar ratio
Find fourth proportional to 1,539, 2,308.50 and 513
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.