Home / 829-1,144.10-461

Finding the Fourth Proportional to 829, 1,144.10 and 461

Calculator

Solution

The fourth proportional to 829, 1,144.10 and 461 is: 636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 1,144.10 = 461 : x
  2. Step 2: Convert to fraction form
    829/1,144.10 = 461/x
  3. Step 3: Cross multiply
    829x = 1,144.10 × 461
  4. Step 4: Simplify right side
    829x = 527,430.10
  5. Step 5: Solve for x
    x = 527,430.10/829
  6. Step 6: Final answer
    x = 636.22

Related Problems

Find fourth proportional to 414.50, 572.05 and 230.50
Half scale
Find fourth proportional to 1,658, 2,288.20 and 922
Double scale
Find fourth proportional to 830, 1,145.48 and 462
Similar ratio
Find fourth proportional to 1,243.50, 1,716.15 and 691.50
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.