Home / 496-683.84-407.15

Finding the Fourth Proportional to 496, 683.84 and 407.15

Calculator

Solution

The fourth proportional to 496, 683.84 and 407.15 is: 561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 683.84 = 407.15 : x
  2. Step 2: Convert to fraction form
    496/683.84 = 407.15/x
  3. Step 3: Cross multiply
    496x = 683.84 × 407.15
  4. Step 4: Simplify right side
    496x = 278,425.46
  5. Step 5: Solve for x
    x = 278,425.46/496
  6. Step 6: Final answer
    x = 561.34

Related Problems

Find fourth proportional to 248, 341.92 and 203.58
Half scale
Find fourth proportional to 992, 1,367.68 and 814.30
Double scale
Find fourth proportional to 497, 685.22 and 408.15
Similar ratio
Find fourth proportional to 744, 1,025.76 and 610.73
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.