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Finding the Fourth Proportional to 543.24, 809.69 and 512.49

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Solution

The fourth proportional to 543.24, 809.69 and 512.49 is: 763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 809.69 = 512.49 : x
  2. Step 2: Convert to fraction form
    543.24/809.69 = 512.49/x
  3. Step 3: Cross multiply
    543.24x = 809.69 × 512.49
  4. Step 4: Simplify right side
    543.24x = 414,958.03
  5. Step 5: Solve for x
    x = 414,958.03/543.24
  6. Step 6: Final answer
    x = 763.86

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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.