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Finding the Fourth Proportional to 517.38, 776.67 and 496.50

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Solution

The fourth proportional to 517.38, 776.67 and 496.50 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 776.67 = 496.50 : x
  2. Step 2: Convert to fraction form
    517.38/776.67 = 496.50/x
  3. Step 3: Cross multiply
    517.38x = 776.67 × 496.50
  4. Step 4: Simplify right side
    517.38x = 385,616.66
  5. Step 5: Solve for x
    x = 385,616.66/517.38
  6. Step 6: Final answer
    x = 745.33

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Similar ratio
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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.