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Finding the Fourth Proportional to 827.01, 1,140.89 and 594.27

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Solution

The fourth proportional to 827.01, 1,140.89 and 594.27 is: 819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.01 : 1,140.89 = 594.27 : x
  2. Step 2: Convert to fraction form
    827.01/1,140.89 = 594.27/x
  3. Step 3: Cross multiply
    827.01x = 1,140.89 × 594.27
  4. Step 4: Simplify right side
    827.01x = 677,993.73
  5. Step 5: Solve for x
    x = 677,993.73/827.01
  6. Step 6: Final answer
    x = 819.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.