Home / 802-1,106.76-434

Finding the Fourth Proportional to 802, 1,106.76 and 434

Calculator

Solution

The fourth proportional to 802, 1,106.76 and 434 is: 598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,106.76 = 434 : x
  2. Step 2: Convert to fraction form
    802/1,106.76 = 434/x
  3. Step 3: Cross multiply
    802x = 1,106.76 × 434
  4. Step 4: Simplify right side
    802x = 480,333.84
  5. Step 5: Solve for x
    x = 480,333.84/802
  6. Step 6: Final answer
    x = 598.92

Related Problems

Find fourth proportional to 401, 553.38 and 217
Half scale
Find fourth proportional to 1,604, 2,213.52 and 868
Double scale
Find fourth proportional to 803, 1,108.14 and 435
Similar ratio
Find fourth proportional to 1,203, 1,660.14 and 651
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.