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Finding the Fourth Proportional to 543.12, 809.11 and 517.00

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Solution

The fourth proportional to 543.12, 809.11 and 517.00 is: 770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.12 : 809.11 = 517.00 : x
  2. Step 2: Convert to fraction form
    543.12/809.11 = 517.00/x
  3. Step 3: Cross multiply
    543.12x = 809.11 × 517.00
  4. Step 4: Simplify right side
    543.12x = 418,308.05
  5. Step 5: Solve for x
    x = 418,308.05/543.12
  6. Step 6: Final answer
    x = 770.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.