Home / 816.90-1,224.24-378

Finding the Fourth Proportional to 816.90, 1,224.24 and 378

Calculator

Solution

The fourth proportional to 816.90, 1,224.24 and 378 is: 566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.90 : 1,224.24 = 378 : x
  2. Step 2: Convert to fraction form
    816.90/1,224.24 = 378/x
  3. Step 3: Cross multiply
    816.90x = 1,224.24 × 378
  4. Step 4: Simplify right side
    816.90x = 462,762.72
  5. Step 5: Solve for x
    x = 462,762.72/816.90
  6. Step 6: Final answer
    x = 566.49

Related Problems

Find fourth proportional to 408.45, 612.12 and 189
Half scale
Find fourth proportional to 1,633.80, 2,448.48 and 756
Double scale
Find fourth proportional to 817.90, 1,225.74 and 379
Similar ratio
Find fourth proportional to 1,225.35, 1,836.36 and 567
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.