Home / 864-1,296-286.92

Finding the Fourth Proportional to 864, 1,296 and 286.92

Calculator

Solution

The fourth proportional to 864, 1,296 and 286.92 is: 430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,296 = 286.92 : x
  2. Step 2: Convert to fraction form
    864/1,296 = 286.92/x
  3. Step 3: Cross multiply
    864x = 1,296 × 286.92
  4. Step 4: Simplify right side
    864x = 371,848.32
  5. Step 5: Solve for x
    x = 371,848.32/864
  6. Step 6: Final answer
    x = 430.38

Related Problems

Find fourth proportional to 432, 648 and 143.46
Half scale
Find fourth proportional to 1,728, 2,592 and 573.84
Double scale
Find fourth proportional to 865, 1,297.50 and 287.92
Similar ratio
Find fourth proportional to 1,296, 1,944 and 430.38
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.