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Finding the Fourth Proportional to 1,540.58, 2,311.29 and 445.05

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Solution

The fourth proportional to 1,540.58, 2,311.29 and 445.05 is: 667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.58 : 2,311.29 = 445.05 : x
  2. Step 2: Convert to fraction form
    1,540.58/2,311.29 = 445.05/x
  3. Step 3: Cross multiply
    1,540.58x = 2,311.29 × 445.05
  4. Step 4: Simplify right side
    1,540.58x = 1,028,639.61
  5. Step 5: Solve for x
    x = 1,028,639.61/1,540.58
  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.