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Finding the Fourth Proportional to 517.96, 776.94 and 486.28

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Solution

The fourth proportional to 517.96, 776.94 and 486.28 is: 729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 776.94 = 486.28 : x
  2. Step 2: Convert to fraction form
    517.96/776.94 = 486.28/x
  3. Step 3: Cross multiply
    517.96x = 776.94 × 486.28
  4. Step 4: Simplify right side
    517.96x = 377,810.38
  5. Step 5: Solve for x
    x = 377,810.38/517.96
  6. Step 6: Final answer
    x = 729.42

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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.