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Finding the Fourth Proportional to 517.61, 776.27 and 192.94

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Solution

The fourth proportional to 517.61, 776.27 and 192.94 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.61 : 776.27 = 192.94 : x
  2. Step 2: Convert to fraction form
    517.61/776.27 = 192.94/x
  3. Step 3: Cross multiply
    517.61x = 776.27 × 192.94
  4. Step 4: Simplify right side
    517.61x = 149,772.08
  5. Step 5: Solve for x
    x = 149,772.08/517.61
  6. Step 6: Final answer
    x = 289.35

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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.