Home / 731.24-1,009.04-412.19

Finding the Fourth Proportional to 731.24, 1,009.04 and 412.19

Calculator

Solution

The fourth proportional to 731.24, 1,009.04 and 412.19 is: 568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.24 : 1,009.04 = 412.19 : x
  2. Step 2: Convert to fraction form
    731.24/1,009.04 = 412.19/x
  3. Step 3: Cross multiply
    731.24x = 1,009.04 × 412.19
  4. Step 4: Simplify right side
    731.24x = 415,916.20
  5. Step 5: Solve for x
    x = 415,916.20/731.24
  6. Step 6: Final answer
    x = 568.78

Related Problems

Find fourth proportional to 365.62, 504.52 and 206.10
Half scale
Find fourth proportional to 1,462.48, 2,018.08 and 824.38
Double scale
Find fourth proportional to 732.24, 1,010.42 and 413.19
Similar ratio
Find fourth proportional to 1,096.86, 1,513.56 and 618.29
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.