Home / 824.58-1,137.78-509.90

Finding the Fourth Proportional to 824.58, 1,137.78 and 509.90

Calculator

Solution

The fourth proportional to 824.58, 1,137.78 and 509.90 is: 703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.58 : 1,137.78 = 509.90 : x
  2. Step 2: Convert to fraction form
    824.58/1,137.78 = 509.90/x
  3. Step 3: Cross multiply
    824.58x = 1,137.78 × 509.90
  4. Step 4: Simplify right side
    824.58x = 580,148.33
  5. Step 5: Solve for x
    x = 580,148.33/824.58
  6. Step 6: Final answer
    x = 703.57

Related Problems

Find fourth proportional to 412.29, 568.89 and 254.95
Half scale
Find fourth proportional to 1,649.16, 2,275.56 and 1,019.79
Double scale
Find fourth proportional to 825.58, 1,139.16 and 510.90
Similar ratio
Find fourth proportional to 1,236.87, 1,706.67 and 764.84
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.