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Finding the Fourth Proportional to 578.35, 866.82 and 441.65

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Solution

The fourth proportional to 578.35, 866.82 and 441.65 is: 661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.35 : 866.82 = 441.65 : x
  2. Step 2: Convert to fraction form
    578.35/866.82 = 441.65/x
  3. Step 3: Cross multiply
    578.35x = 866.82 × 441.65
  4. Step 4: Simplify right side
    578.35x = 382,831.05
  5. Step 5: Solve for x
    x = 382,831.05/578.35
  6. Step 6: Final answer
    x = 661.94

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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.