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Finding the Fourth Proportional to 517.94, 777.05 and 193.31

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Solution

The fourth proportional to 517.94, 777.05 and 193.31 is: 290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 777.05 = 193.31 : x
  2. Step 2: Convert to fraction form
    517.94/777.05 = 193.31/x
  3. Step 3: Cross multiply
    517.94x = 777.05 × 193.31
  4. Step 4: Simplify right side
    517.94x = 150,213.48
  5. Step 5: Solve for x
    x = 150,213.48/517.94
  6. Step 6: Final answer
    x = 290.02

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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.