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Finding the Fourth Proportional to 1,029.00, 1,540.09 and 822.61

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Solution

The fourth proportional to 1,029.00, 1,540.09 and 822.61 is: 1,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.00 : 1,540.09 = 822.61 : x
  2. Step 2: Convert to fraction form
    1,029.00/1,540.09 = 822.61/x
  3. Step 3: Cross multiply
    1,029.00x = 1,540.09 × 822.61
  4. Step 4: Simplify right side
    1,029.00x = 1,266,881.62
  5. Step 5: Solve for x
    x = 1,266,881.62/1,029.00
  6. Step 6: Final answer
    x = 1,231.17

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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.