Home / 598.23-823.73-509.54

Finding the Fourth Proportional to 598.23, 823.73 and 509.54

Calculator

Solution

The fourth proportional to 598.23, 823.73 and 509.54 is: 701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.23 : 823.73 = 509.54 : x
  2. Step 2: Convert to fraction form
    598.23/823.73 = 509.54/x
  3. Step 3: Cross multiply
    598.23x = 823.73 × 509.54
  4. Step 4: Simplify right side
    598.23x = 419,716.72
  5. Step 5: Solve for x
    x = 419,716.72/598.23
  6. Step 6: Final answer
    x = 701.60

Related Problems

Find fourth proportional to 299.12, 411.86 and 254.77
Half scale
Find fourth proportional to 1,196.46, 1,647.45 and 1,019.07
Double scale
Find fourth proportional to 599.23, 825.10 and 510.54
Similar ratio
Find fourth proportional to 897.35, 1,235.59 and 764.30
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.