Home / 519-716.24-286.14

Finding the Fourth Proportional to 519, 716.24 and 286.14

Calculator

Solution

The fourth proportional to 519, 716.24 and 286.14 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 716.24 = 286.14 : x
  2. Step 2: Convert to fraction form
    519/716.24 = 286.14/x
  3. Step 3: Cross multiply
    519x = 716.24 × 286.14
  4. Step 4: Simplify right side
    519x = 204,944.91
  5. Step 5: Solve for x
    x = 204,944.91/519
  6. Step 6: Final answer
    x = 394.88

Related Problems

Find fourth proportional to 259.50, 358.12 and 143.07
Half scale
Find fourth proportional to 1,038, 1,432.48 and 572.28
Double scale
Find fourth proportional to 520, 717.62 and 287.14
Similar ratio
Find fourth proportional to 778.50, 1,074.36 and 429.21
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.