Home / 706.38-1,059.54-414

Finding the Fourth Proportional to 706.38, 1,059.54 and 414

Calculator

Solution

The fourth proportional to 706.38, 1,059.54 and 414 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.38 : 1,059.54 = 414 : x
  2. Step 2: Convert to fraction form
    706.38/1,059.54 = 414/x
  3. Step 3: Cross multiply
    706.38x = 1,059.54 × 414
  4. Step 4: Simplify right side
    706.38x = 438,649.56
  5. Step 5: Solve for x
    x = 438,649.56/706.38
  6. Step 6: Final answer
    x = 620.98

Related Problems

Find fourth proportional to 353.19, 529.77 and 207
Half scale
Find fourth proportional to 1,412.76, 2,119.08 and 828
Double scale
Find fourth proportional to 707.38, 1,061.04 and 415
Similar ratio
Find fourth proportional to 1,059.57, 1,589.31 and 621
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.