Home / 1,609-2,413.50-583.24

Finding the Fourth Proportional to 1,609, 2,413.50 and 583.24

Calculator

Solution

The fourth proportional to 1,609, 2,413.50 and 583.24 is: 874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609 : 2,413.50 = 583.24 : x
  2. Step 2: Convert to fraction form
    1,609/2,413.50 = 583.24/x
  3. Step 3: Cross multiply
    1,609x = 2,413.50 × 583.24
  4. Step 4: Simplify right side
    1,609x = 1,407,649.74
  5. Step 5: Solve for x
    x = 1,407,649.74/1,609
  6. Step 6: Final answer
    x = 874.86

Related Problems

Find fourth proportional to 804.50, 1,206.75 and 291.62
Half scale
Find fourth proportional to 3,218, 4,827 and 1,166.48
Double scale
Find fourth proportional to 1,610, 2,415 and 584.24
Similar ratio
Find fourth proportional to 2,413.50, 3,620.25 and 874.86
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.