Home / 1,027.48-1,540.74-343

Finding the Fourth Proportional to 1,027.48, 1,540.74 and 343

Calculator

Solution

The fourth proportional to 1,027.48, 1,540.74 and 343 is: 514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.48 : 1,540.74 = 343 : x
  2. Step 2: Convert to fraction form
    1,027.48/1,540.74 = 343/x
  3. Step 3: Cross multiply
    1,027.48x = 1,540.74 × 343
  4. Step 4: Simplify right side
    1,027.48x = 528,473.82
  5. Step 5: Solve for x
    x = 528,473.82/1,027.48
  6. Step 6: Final answer
    x = 514.34

Related Problems

Find fourth proportional to 513.74, 770.37 and 171.50
Half scale
Find fourth proportional to 2,054.96, 3,081.48 and 686
Double scale
Find fourth proportional to 1,028.48, 1,542.24 and 344
Similar ratio
Find fourth proportional to 1,541.22, 2,311.11 and 514.50
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.