Home / 676.34-1,013.82-513.68

Finding the Fourth Proportional to 676.34, 1,013.82 and 513.68

Calculator

Solution

The fourth proportional to 676.34, 1,013.82 and 513.68 is: 769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.34 : 1,013.82 = 513.68 : x
  2. Step 2: Convert to fraction form
    676.34/1,013.82 = 513.68/x
  3. Step 3: Cross multiply
    676.34x = 1,013.82 × 513.68
  4. Step 4: Simplify right side
    676.34x = 520,773.99
  5. Step 5: Solve for x
    x = 520,773.99/676.34
  6. Step 6: Final answer
    x = 769.99

Related Problems

Find fourth proportional to 338.17, 506.91 and 256.84
Half scale
Find fourth proportional to 1,352.67, 2,027.64 and 1,027.35
Double scale
Find fourth proportional to 677.34, 1,015.32 and 514.68
Similar ratio
Find fourth proportional to 1,014.50, 1,520.73 and 770.51
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.