Home / 1,023.68-1,412.04-650

Finding the Fourth Proportional to 1,023.68, 1,412.04 and 650

Calculator

Solution

The fourth proportional to 1,023.68, 1,412.04 and 650 is: 896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.68 : 1,412.04 = 650 : x
  2. Step 2: Convert to fraction form
    1,023.68/1,412.04 = 650/x
  3. Step 3: Cross multiply
    1,023.68x = 1,412.04 × 650
  4. Step 4: Simplify right side
    1,023.68x = 917,826
  5. Step 5: Solve for x
    x = 917,826/1,023.68
  6. Step 6: Final answer
    x = 896.59

Related Problems

Find fourth proportional to 511.84, 706.02 and 325
Half scale
Find fourth proportional to 2,047.36, 2,824.08 and 1,300
Double scale
Find fourth proportional to 1,024.68, 1,413.42 and 651
Similar ratio
Find fourth proportional to 1,535.52, 2,118.06 and 975
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.