Home / 741.23-1,022.89-409.67

Finding the Fourth Proportional to 741.23, 1,022.89 and 409.67

Calculator

Solution

The fourth proportional to 741.23, 1,022.89 and 409.67 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.23 : 1,022.89 = 409.67 : x
  2. Step 2: Convert to fraction form
    741.23/1,022.89 = 409.67/x
  3. Step 3: Cross multiply
    741.23x = 1,022.89 × 409.67
  4. Step 4: Simplify right side
    741.23x = 419,042.23
  5. Step 5: Solve for x
    x = 419,042.23/741.23
  6. Step 6: Final answer
    x = 565.34

Related Problems

Find fourth proportional to 370.61, 511.45 and 204.83
Half scale
Find fourth proportional to 1,482.45, 2,045.78 and 819.33
Double scale
Find fourth proportional to 742.23, 1,024.27 and 410.67
Similar ratio
Find fourth proportional to 1,111.84, 1,534.34 and 614.50
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.