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Finding the Fourth Proportional to 517.04, 775.62 and 192.44

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Solution

The fourth proportional to 517.04, 775.62 and 192.44 is: 288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.04 : 775.62 = 192.44 : x
  2. Step 2: Convert to fraction form
    517.04/775.62 = 192.44/x
  3. Step 3: Cross multiply
    517.04x = 775.62 × 192.44
  4. Step 4: Simplify right side
    517.04x = 149,260.31
  5. Step 5: Solve for x
    x = 149,260.31/517.04
  6. Step 6: Final answer
    x = 288.68

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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.