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Finding the Fourth Proportional to 565.27, 843.81 and 488.73

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Solution

The fourth proportional to 565.27, 843.81 and 488.73 is: 729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.27 : 843.81 = 488.73 : x
  2. Step 2: Convert to fraction form
    565.27/843.81 = 488.73/x
  3. Step 3: Cross multiply
    565.27x = 843.81 × 488.73
  4. Step 4: Simplify right side
    565.27x = 412,391.04
  5. Step 5: Solve for x
    x = 412,391.04/565.27
  6. Step 6: Final answer
    x = 729.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.