Home / 1,024.73-1,538-409.65

Finding the Fourth Proportional to 1,024.73, 1,538 and 409.65

Calculator

Solution

The fourth proportional to 1,024.73, 1,538 and 409.65 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.73 : 1,538 = 409.65 : x
  2. Step 2: Convert to fraction form
    1,024.73/1,538 = 409.65/x
  3. Step 3: Cross multiply
    1,024.73x = 1,538 × 409.65
  4. Step 4: Simplify right side
    1,024.73x = 630,041.70
  5. Step 5: Solve for x
    x = 630,041.70/1,024.73
  6. Step 6: Final answer
    x = 614.84

Related Problems

Find fourth proportional to 512.37, 769 and 204.83
Half scale
Find fourth proportional to 2,049.46, 3,076 and 819.30
Double scale
Find fourth proportional to 1,025.73, 1,539.50 and 410.65
Similar ratio
Find fourth proportional to 1,537.10, 2,307 and 614.48
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.