Home / 467.08-699.24-409.42

Finding the Fourth Proportional to 467.08, 699.24 and 409.42

Calculator

Solution

The fourth proportional to 467.08, 699.24 and 409.42 is: 612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 699.24 = 409.42 : x
  2. Step 2: Convert to fraction form
    467.08/699.24 = 409.42/x
  3. Step 3: Cross multiply
    467.08x = 699.24 × 409.42
  4. Step 4: Simplify right side
    467.08x = 286,282.84
  5. Step 5: Solve for x
    x = 286,282.84/467.08
  6. Step 6: Final answer
    x = 612.92

Related Problems

Find fourth proportional to 233.54, 349.62 and 204.71
Half scale
Find fourth proportional to 934.16, 1,398.48 and 818.84
Double scale
Find fourth proportional to 468.08, 700.74 and 410.42
Similar ratio
Find fourth proportional to 700.62, 1,048.86 and 614.13
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.