Home / 1,024-1,413.12-610

Finding the Fourth Proportional to 1,024, 1,413.12 and 610

Calculator

Solution

The fourth proportional to 1,024, 1,413.12 and 610 is: 841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024 : 1,413.12 = 610 : x
  2. Step 2: Convert to fraction form
    1,024/1,413.12 = 610/x
  3. Step 3: Cross multiply
    1,024x = 1,413.12 × 610
  4. Step 4: Simplify right side
    1,024x = 862,003.20
  5. Step 5: Solve for x
    x = 862,003.20/1,024
  6. Step 6: Final answer
    x = 841.80

Related Problems

Find fourth proportional to 512, 706.56 and 305
Half scale
Find fourth proportional to 2,048, 2,826.24 and 1,220
Double scale
Find fourth proportional to 1,025, 1,414.50 and 611
Similar ratio
Find fourth proportional to 1,536, 2,119.68 and 915
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.