Home / 513.50-770.79-257

Finding the Fourth Proportional to 513.50, 770.79 and 257

Calculator

Solution

The fourth proportional to 513.50, 770.79 and 257 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 770.79 = 257 : x
  2. Step 2: Convert to fraction form
    513.50/770.79 = 257/x
  3. Step 3: Cross multiply
    513.50x = 770.79 × 257
  4. Step 4: Simplify right side
    513.50x = 198,093.03
  5. Step 5: Solve for x
    x = 198,093.03/513.50
  6. Step 6: Final answer
    x = 385.77

Related Problems

Find fourth proportional to 256.75, 385.40 and 128.50
Half scale
Find fourth proportional to 1,027, 1,541.58 and 514
Double scale
Find fourth proportional to 514.50, 772.29 and 258
Similar ratio
Find fourth proportional to 770.25, 1,156.19 and 385.50
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.