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Finding the Fourth Proportional to 578.05, 797.41 and 381.49

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Solution

The fourth proportional to 578.05, 797.41 and 381.49 is: 526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.05 : 797.41 = 381.49 : x
  2. Step 2: Convert to fraction form
    578.05/797.41 = 381.49/x
  3. Step 3: Cross multiply
    578.05x = 797.41 × 381.49
  4. Step 4: Simplify right side
    578.05x = 304,203.94
  5. Step 5: Solve for x
    x = 304,203.94/578.05
  6. Step 6: Final answer
    x = 526.26

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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.