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Finding the Fourth Proportional to 517.73, 776.90 and 193.33

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Solution

The fourth proportional to 517.73, 776.90 and 193.33 is: 290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.73 : 776.90 = 193.33 : x
  2. Step 2: Convert to fraction form
    517.73/776.90 = 193.33/x
  3. Step 3: Cross multiply
    517.73x = 776.90 × 193.33
  4. Step 4: Simplify right side
    517.73x = 150,196.62
  5. Step 5: Solve for x
    x = 150,196.62/517.73
  6. Step 6: Final answer
    x = 290.10

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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.