Home / 642.76-964.24-209.82

Finding the Fourth Proportional to 642.76, 964.24 and 209.82

Calculator

Solution

The fourth proportional to 642.76, 964.24 and 209.82 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.76 : 964.24 = 209.82 : x
  2. Step 2: Convert to fraction form
    642.76/964.24 = 209.82/x
  3. Step 3: Cross multiply
    642.76x = 964.24 × 209.82
  4. Step 4: Simplify right side
    642.76x = 202,312.02
  5. Step 5: Solve for x
    x = 202,312.02/642.76
  6. Step 6: Final answer
    x = 314.76

Related Problems

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.