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Finding the Fourth Proportional to 543.10, 814.38 and 378.65

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Solution

The fourth proportional to 543.10, 814.38 and 378.65 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.10 : 814.38 = 378.65 : x
  2. Step 2: Convert to fraction form
    543.10/814.38 = 378.65/x
  3. Step 3: Cross multiply
    543.10x = 814.38 × 378.65
  4. Step 4: Simplify right side
    543.10x = 308,363.00
  5. Step 5: Solve for x
    x = 308,363.00/543.10
  6. Step 6: Final answer
    x = 567.78

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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.