Home / 742-1,023.96-466

Finding the Fourth Proportional to 742, 1,023.96 and 466

Calculator

Solution

The fourth proportional to 742, 1,023.96 and 466 is: 643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    742 : 1,023.96 = 466 : x
  2. Step 2: Convert to fraction form
    742/1,023.96 = 466/x
  3. Step 3: Cross multiply
    742x = 1,023.96 × 466
  4. Step 4: Simplify right side
    742x = 477,165.36
  5. Step 5: Solve for x
    x = 477,165.36/742
  6. Step 6: Final answer
    x = 643.08

Related Problems

Find fourth proportional to 371, 511.98 and 233
Half scale
Find fourth proportional to 1,484, 2,047.92 and 932
Double scale
Find fourth proportional to 743, 1,025.34 and 467
Similar ratio
Find fourth proportional to 1,113, 1,535.94 and 699
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.