Home / 664.34-996.64-459

Finding the Fourth Proportional to 664.34, 996.64 and 459

Calculator

Solution

The fourth proportional to 664.34, 996.64 and 459 is: 688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.34 : 996.64 = 459 : x
  2. Step 2: Convert to fraction form
    664.34/996.64 = 459/x
  3. Step 3: Cross multiply
    664.34x = 996.64 × 459
  4. Step 4: Simplify right side
    664.34x = 457,457.76
  5. Step 5: Solve for x
    x = 457,457.76/664.34
  6. Step 6: Final answer
    x = 688.59

Related Problems

Find fourth proportional to 332.17, 498.32 and 229.50
Half scale
Find fourth proportional to 1,328.68, 1,993.28 and 918
Double scale
Find fourth proportional to 665.34, 998.14 and 460
Similar ratio
Find fourth proportional to 996.51, 1,494.96 and 688.50
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.