Home / 1,309.08-1,961.66-659

Finding the Fourth Proportional to 1,309.08, 1,961.66 and 659

Calculator

Solution

The fourth proportional to 1,309.08, 1,961.66 and 659 is: 987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.08 : 1,961.66 = 659 : x
  2. Step 2: Convert to fraction form
    1,309.08/1,961.66 = 659/x
  3. Step 3: Cross multiply
    1,309.08x = 1,961.66 × 659
  4. Step 4: Simplify right side
    1,309.08x = 1,292,733.94
  5. Step 5: Solve for x
    x = 1,292,733.94/1,309.08
  6. Step 6: Final answer
    x = 987.51

Related Problems

Find fourth proportional to 654.54, 980.83 and 329.50
Half scale
Find fourth proportional to 2,618.16, 3,923.32 and 1,318
Double scale
Find fourth proportional to 1,310.08, 1,963.16 and 660
Similar ratio
Find fourth proportional to 1,963.62, 2,942.49 and 988.50
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.