Home / 1,538-2,307-498.87

Finding the Fourth Proportional to 1,538, 2,307 and 498.87

Calculator

Solution

The fourth proportional to 1,538, 2,307 and 498.87 is: 748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538 : 2,307 = 498.87 : x
  2. Step 2: Convert to fraction form
    1,538/2,307 = 498.87/x
  3. Step 3: Cross multiply
    1,538x = 2,307 × 498.87
  4. Step 4: Simplify right side
    1,538x = 1,150,893.09
  5. Step 5: Solve for x
    x = 1,150,893.09/1,538
  6. Step 6: Final answer
    x = 748.31

Related Problems

Find fourth proportional to 769, 1,153.50 and 249.44
Half scale
Find fourth proportional to 3,076, 4,614 and 997.74
Double scale
Find fourth proportional to 1,539, 2,308.50 and 499.87
Similar ratio
Find fourth proportional to 2,307, 3,460.50 and 748.31
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.