Home / 683.05-1,024.62-410.89

Finding the Fourth Proportional to 683.05, 1,024.62 and 410.89

Calculator

Solution

The fourth proportional to 683.05, 1,024.62 and 410.89 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.05 : 1,024.62 = 410.89 : x
  2. Step 2: Convert to fraction form
    683.05/1,024.62 = 410.89/x
  3. Step 3: Cross multiply
    683.05x = 1,024.62 × 410.89
  4. Step 4: Simplify right side
    683.05x = 421,006.11
  5. Step 5: Solve for x
    x = 421,006.11/683.05
  6. Step 6: Final answer
    x = 616.36

Related Problems

Find fourth proportional to 341.53, 512.31 and 205.45
Half scale
Find fourth proportional to 1,366.10, 2,049.24 and 821.78
Double scale
Find fourth proportional to 684.05, 1,026.12 and 411.89
Similar ratio
Find fourth proportional to 1,024.58, 1,536.93 and 616.34
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.