Home / 763.50-1,053.62-414.20

Finding the Fourth Proportional to 763.50, 1,053.62 and 414.20

Calculator

Solution

The fourth proportional to 763.50, 1,053.62 and 414.20 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.50 : 1,053.62 = 414.20 : x
  2. Step 2: Convert to fraction form
    763.50/1,053.62 = 414.20/x
  3. Step 3: Cross multiply
    763.50x = 1,053.62 × 414.20
  4. Step 4: Simplify right side
    763.50x = 436,409.40
  5. Step 5: Solve for x
    x = 436,409.40/763.50
  6. Step 6: Final answer
    x = 571.59

Related Problems

Find fourth proportional to 381.75, 526.81 and 207.10
Half scale
Find fourth proportional to 1,527, 2,107.24 and 828.40
Double scale
Find fourth proportional to 764.50, 1,055 and 415.20
Similar ratio
Find fourth proportional to 1,145.25, 1,580.43 and 621.30
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.