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Finding the Fourth Proportional to 565.05, 847.85 and 443.55

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Solution

The fourth proportional to 565.05, 847.85 and 443.55 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.05 : 847.85 = 443.55 : x
  2. Step 2: Convert to fraction form
    565.05/847.85 = 443.55/x
  3. Step 3: Cross multiply
    565.05x = 847.85 × 443.55
  4. Step 4: Simplify right side
    565.05x = 376,061.65
  5. Step 5: Solve for x
    x = 376,061.65/565.05
  6. Step 6: Final answer
    x = 665.54

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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.