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Finding the Fourth Proportional to 578.39, 797.85 and 356.95

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Solution

The fourth proportional to 578.39, 797.85 and 356.95 is: 492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.39 : 797.85 = 356.95 : x
  2. Step 2: Convert to fraction form
    578.39/797.85 = 356.95/x
  3. Step 3: Cross multiply
    578.39x = 797.85 × 356.95
  4. Step 4: Simplify right side
    578.39x = 284,788.57
  5. Step 5: Solve for x
    x = 284,788.57/578.39
  6. Step 6: Final answer
    x = 492.38

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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.