Home / 1,540.81-2,311.14-445.15

Finding the Fourth Proportional to 1,540.81, 2,311.14 and 445.15

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Solution

The fourth proportional to 1,540.81, 2,311.14 and 445.15 is: 667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.81 : 2,311.14 = 445.15 : x
  2. Step 2: Convert to fraction form
    1,540.81/2,311.14 = 445.15/x
  3. Step 3: Cross multiply
    1,540.81x = 2,311.14 × 445.15
  4. Step 4: Simplify right side
    1,540.81x = 1,028,792.42
  5. Step 5: Solve for x
    x = 1,028,792.42/1,540.81
  6. Step 6: Final answer
    x = 667.70

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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.