Home / 766-1,149.16-310

Finding the Fourth Proportional to 766, 1,149.16 and 310

Calculator

Solution

The fourth proportional to 766, 1,149.16 and 310 is: 465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    766 : 1,149.16 = 310 : x
  2. Step 2: Convert to fraction form
    766/1,149.16 = 310/x
  3. Step 3: Cross multiply
    766x = 1,149.16 × 310
  4. Step 4: Simplify right side
    766x = 356,239.60
  5. Step 5: Solve for x
    x = 356,239.60/766
  6. Step 6: Final answer
    x = 465.06

Related Problems

Find fourth proportional to 383, 574.58 and 155
Half scale
Find fourth proportional to 1,532, 2,298.32 and 620
Double scale
Find fourth proportional to 767, 1,150.66 and 311
Similar ratio
Find fourth proportional to 1,149, 1,723.74 and 465
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.