Home / 1,103.09-1,654.16-409.64

Finding the Fourth Proportional to 1,103.09, 1,654.16 and 409.64

Calculator

Solution

The fourth proportional to 1,103.09, 1,654.16 and 409.64 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.09 : 1,654.16 = 409.64 : x
  2. Step 2: Convert to fraction form
    1,103.09/1,654.16 = 409.64/x
  3. Step 3: Cross multiply
    1,103.09x = 1,654.16 × 409.64
  4. Step 4: Simplify right side
    1,103.09x = 677,599.78
  5. Step 5: Solve for x
    x = 677,599.78/1,103.09
  6. Step 6: Final answer
    x = 614.28

Related Problems

Find fourth proportional to 551.54, 827.08 and 204.82
Half scale
Find fourth proportional to 2,206.17, 3,308.31 and 819.27
Double scale
Find fourth proportional to 1,104.09, 1,655.65 and 410.64
Similar ratio
Find fourth proportional to 1,654.63, 2,481.23 and 614.45
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.