Home / 461.68-691.24-324

Finding the Fourth Proportional to 461.68, 691.24 and 324

Calculator

Solution

The fourth proportional to 461.68, 691.24 and 324 is: 485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 691.24 = 324 : x
  2. Step 2: Convert to fraction form
    461.68/691.24 = 324/x
  3. Step 3: Cross multiply
    461.68x = 691.24 × 324
  4. Step 4: Simplify right side
    461.68x = 223,961.76
  5. Step 5: Solve for x
    x = 223,961.76/461.68
  6. Step 6: Final answer
    x = 485.10

Related Problems

Find fourth proportional to 230.84, 345.62 and 162
Half scale
Find fourth proportional to 923.36, 1,382.48 and 648
Double scale
Find fourth proportional to 462.68, 692.74 and 325
Similar ratio
Find fourth proportional to 692.52, 1,036.86 and 486
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.