Home / 1,438.24-2,155.29-820.66

Finding the Fourth Proportional to 1,438.24, 2,155.29 and 820.66

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Solution

The fourth proportional to 1,438.24, 2,155.29 and 820.66 is: 1,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.24 : 2,155.29 = 820.66 : x
  2. Step 2: Convert to fraction form
    1,438.24/2,155.29 = 820.66/x
  3. Step 3: Cross multiply
    1,438.24x = 2,155.29 × 820.66
  4. Step 4: Simplify right side
    1,438.24x = 1,768,760.29
  5. Step 5: Solve for x
    x = 1,768,760.29/1,438.24
  6. Step 6: Final answer
    x = 1,229.81

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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.