Home / 519-716.64-409.05

Finding the Fourth Proportional to 519, 716.64 and 409.05

Calculator

Solution

The fourth proportional to 519, 716.64 and 409.05 is: 564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 716.64 = 409.05 : x
  2. Step 2: Convert to fraction form
    519/716.64 = 409.05/x
  3. Step 3: Cross multiply
    519x = 716.64 × 409.05
  4. Step 4: Simplify right side
    519x = 293,141.59
  5. Step 5: Solve for x
    x = 293,141.59/519
  6. Step 6: Final answer
    x = 564.82

Related Problems

Find fourth proportional to 259.50, 358.32 and 204.53
Half scale
Find fourth proportional to 1,038, 1,433.28 and 818.10
Double scale
Find fourth proportional to 520, 718.02 and 410.05
Similar ratio
Find fourth proportional to 778.50, 1,074.96 and 613.58
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.