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Finding the Fourth Proportional to 546.40, 820.20 and 511.15

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Solution

The fourth proportional to 546.40, 820.20 and 511.15 is: 767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 820.20 = 511.15 : x
  2. Step 2: Convert to fraction form
    546.40/820.20 = 511.15/x
  3. Step 3: Cross multiply
    546.40x = 820.20 × 511.15
  4. Step 4: Simplify right side
    546.40x = 419,245.23
  5. Step 5: Solve for x
    x = 419,245.23/546.40
  6. Step 6: Final answer
    x = 767.29

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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.