Home / 523.84-782-414.52

Finding the Fourth Proportional to 523.84, 782 and 414.52

Calculator

Solution

The fourth proportional to 523.84, 782 and 414.52 is: 618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 782 = 414.52 : x
  2. Step 2: Convert to fraction form
    523.84/782 = 414.52/x
  3. Step 3: Cross multiply
    523.84x = 782 × 414.52
  4. Step 4: Simplify right side
    523.84x = 324,154.64
  5. Step 5: Solve for x
    x = 324,154.64/523.84
  6. Step 6: Final answer
    x = 618.80

Related Problems

Find fourth proportional to 261.92, 391 and 207.26
Half scale
Find fourth proportional to 1,047.68, 1,564 and 829.04
Double scale
Find fourth proportional to 524.84, 783.49 and 415.52
Similar ratio
Find fourth proportional to 785.76, 1,173 and 621.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.