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Finding the Fourth Proportional to 543.86, 815.17 and 379.38

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Solution

The fourth proportional to 543.86, 815.17 and 379.38 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.86 : 815.17 = 379.38 : x
  2. Step 2: Convert to fraction form
    543.86/815.17 = 379.38/x
  3. Step 3: Cross multiply
    543.86x = 815.17 × 379.38
  4. Step 4: Simplify right side
    543.86x = 309,262.28
  5. Step 5: Solve for x
    x = 309,262.28/543.86
  6. Step 6: Final answer
    x = 568.64

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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.