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Finding the Fourth Proportional to 1,029.45, 1,540.31 and 611.44

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Solution

The fourth proportional to 1,029.45, 1,540.31 and 611.44 is: 914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.45 : 1,540.31 = 611.44 : x
  2. Step 2: Convert to fraction form
    1,029.45/1,540.31 = 611.44/x
  3. Step 3: Cross multiply
    1,029.45x = 1,540.31 × 611.44
  4. Step 4: Simplify right side
    1,029.45x = 941,807.94
  5. Step 5: Solve for x
    x = 941,807.94/1,029.45
  6. Step 6: Final answer
    x = 914.87

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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.