Home / 506.96-760.44-314

Finding the Fourth Proportional to 506.96, 760.44 and 314

Calculator

Solution

The fourth proportional to 506.96, 760.44 and 314 is: 471

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 760.44 = 314 : x
  2. Step 2: Convert to fraction form
    506.96/760.44 = 314/x
  3. Step 3: Cross multiply
    506.96x = 760.44 × 314
  4. Step 4: Simplify right side
    506.96x = 238,778.16
  5. Step 5: Solve for x
    x = 238,778.16/506.96
  6. Step 6: Final answer
    x = 471

Related Problems

Find fourth proportional to 253.48, 380.22 and 157
Half scale
Find fourth proportional to 1,013.92, 1,520.88 and 628
Double scale
Find fourth proportional to 507.96, 761.94 and 315
Similar ratio
Find fourth proportional to 760.44, 1,140.66 and 471
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.