Home / 776.61-1,165.11-314.40

Finding the Fourth Proportional to 776.61, 1,165.11 and 314.40

Calculator

Solution

The fourth proportional to 776.61, 1,165.11 and 314.40 is: 471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.61 : 1,165.11 = 314.40 : x
  2. Step 2: Convert to fraction form
    776.61/1,165.11 = 314.40/x
  3. Step 3: Cross multiply
    776.61x = 1,165.11 × 314.40
  4. Step 4: Simplify right side
    776.61x = 366,310.58
  5. Step 5: Solve for x
    x = 366,310.58/776.61
  6. Step 6: Final answer
    x = 471.68

Related Problems

Find fourth proportional to 388.31, 582.56 and 157.20
Half scale
Find fourth proportional to 1,553.22, 2,330.22 and 628.80
Double scale
Find fourth proportional to 777.61, 1,166.61 and 315.40
Similar ratio
Find fourth proportional to 1,164.92, 1,747.67 and 471.60
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.