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Finding the Fourth Proportional to 517.49, 776.19 and 188.43

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Solution

The fourth proportional to 517.49, 776.19 and 188.43 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.49 : 776.19 = 188.43 : x
  2. Step 2: Convert to fraction form
    517.49/776.19 = 188.43/x
  3. Step 3: Cross multiply
    517.49x = 776.19 × 188.43
  4. Step 4: Simplify right side
    517.49x = 146,257.48
  5. Step 5: Solve for x
    x = 146,257.48/517.49
  6. Step 6: Final answer
    x = 282.63

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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.