Home / 746.29-1,029.80-414.68

Finding the Fourth Proportional to 746.29, 1,029.80 and 414.68

Calculator

Solution

The fourth proportional to 746.29, 1,029.80 and 414.68 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.29 : 1,029.80 = 414.68 : x
  2. Step 2: Convert to fraction form
    746.29/1,029.80 = 414.68/x
  3. Step 3: Cross multiply
    746.29x = 1,029.80 × 414.68
  4. Step 4: Simplify right side
    746.29x = 427,037.46
  5. Step 5: Solve for x
    x = 427,037.46/746.29
  6. Step 6: Final answer
    x = 572.21

Related Problems

Find fourth proportional to 373.15, 514.90 and 207.34
Half scale
Find fourth proportional to 1,492.58, 2,059.60 and 829.36
Double scale
Find fourth proportional to 747.29, 1,031.18 and 415.68
Similar ratio
Find fourth proportional to 1,119.44, 1,544.70 and 622.02
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.