Home / 513.72-769.50-405.18

Finding the Fourth Proportional to 513.72, 769.50 and 405.18

Calculator

Solution

The fourth proportional to 513.72, 769.50 and 405.18 is: 606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.72 : 769.50 = 405.18 : x
  2. Step 2: Convert to fraction form
    513.72/769.50 = 405.18/x
  3. Step 3: Cross multiply
    513.72x = 769.50 × 405.18
  4. Step 4: Simplify right side
    513.72x = 311,786.01
  5. Step 5: Solve for x
    x = 311,786.01/513.72
  6. Step 6: Final answer
    x = 606.92

Related Problems

Find fourth proportional to 256.86, 384.75 and 202.59
Half scale
Find fourth proportional to 1,027.44, 1,539 and 810.36
Double scale
Find fourth proportional to 514.72, 771 and 406.18
Similar ratio
Find fourth proportional to 770.58, 1,154.25 and 607.77
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.