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Finding the Fourth Proportional to 415.41, 571.88 and 363.63

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Solution

The fourth proportional to 415.41, 571.88 and 363.63 is: 500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.41 : 571.88 = 363.63 : x
  2. Step 2: Convert to fraction form
    415.41/571.88 = 363.63/x
  3. Step 3: Cross multiply
    415.41x = 571.88 × 363.63
  4. Step 4: Simplify right side
    415.41x = 207,950.91
  5. Step 5: Solve for x
    x = 207,950.91/415.41
  6. Step 6: Final answer
    x = 500.59

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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.