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Finding the Fourth Proportional to 578.36, 797.74 and 381.88

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Solution

The fourth proportional to 578.36, 797.74 and 381.88 is: 526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 797.74 = 381.88 : x
  2. Step 2: Convert to fraction form
    578.36/797.74 = 381.88/x
  3. Step 3: Cross multiply
    578.36x = 797.74 × 381.88
  4. Step 4: Simplify right side
    578.36x = 304,640.95
  5. Step 5: Solve for x
    x = 304,640.95/578.36
  6. Step 6: Final answer
    x = 526.73

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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.