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Finding the Fourth Proportional to 543, 812.61 and 511.41

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Solution

The fourth proportional to 543, 812.61 and 511.41 is: 765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543 : 812.61 = 511.41 : x
  2. Step 2: Convert to fraction form
    543/812.61 = 511.41/x
  3. Step 3: Cross multiply
    543x = 812.61 × 511.41
  4. Step 4: Simplify right side
    543x = 415,576.88
  5. Step 5: Solve for x
    x = 415,576.88/543
  6. Step 6: Final answer
    x = 765.33

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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.