Home / 1,028-1,542-258.50

Finding the Fourth Proportional to 1,028, 1,542 and 258.50

Calculator

Solution

The fourth proportional to 1,028, 1,542 and 258.50 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028 : 1,542 = 258.50 : x
  2. Step 2: Convert to fraction form
    1,028/1,542 = 258.50/x
  3. Step 3: Cross multiply
    1,028x = 1,542 × 258.50
  4. Step 4: Simplify right side
    1,028x = 398,607
  5. Step 5: Solve for x
    x = 398,607/1,028
  6. Step 6: Final answer
    x = 387.75

Related Problems

Find fourth proportional to 514, 771 and 129.25
Half scale
Find fourth proportional to 2,056, 3,084 and 517
Double scale
Find fourth proportional to 1,029, 1,543.50 and 259.50
Similar ratio
Find fourth proportional to 1,542, 2,313 and 387.75
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.