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Finding the Fourth Proportional to 517.94, 715.41 and 363.38

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Solution

The fourth proportional to 517.94, 715.41 and 363.38 is: 501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.94 : 715.41 = 363.38 : x
  2. Step 2: Convert to fraction form
    517.94/715.41 = 363.38/x
  3. Step 3: Cross multiply
    517.94x = 715.41 × 363.38
  4. Step 4: Simplify right side
    517.94x = 259,965.69
  5. Step 5: Solve for x
    x = 259,965.69/517.94
  6. Step 6: Final answer
    x = 501.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.