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Finding the Fourth Proportional to 517.62, 776.79 and 193.04

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Solution

The fourth proportional to 517.62, 776.79 and 193.04 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.62 : 776.79 = 193.04 : x
  2. Step 2: Convert to fraction form
    517.62/776.79 = 193.04/x
  3. Step 3: Cross multiply
    517.62x = 776.79 × 193.04
  4. Step 4: Simplify right side
    517.62x = 149,947.66
  5. Step 5: Solve for x
    x = 149,947.66/517.62
  6. Step 6: Final answer
    x = 289.69

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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.