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Finding the Fourth Proportional to 546.31, 820.83 and 513.50

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Solution

The fourth proportional to 546.31, 820.83 and 513.50 is: 771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.31 : 820.83 = 513.50 : x
  2. Step 2: Convert to fraction form
    546.31/820.83 = 513.50/x
  3. Step 3: Cross multiply
    546.31x = 820.83 × 513.50
  4. Step 4: Simplify right side
    546.31x = 421,496.21
  5. Step 5: Solve for x
    x = 421,496.21/546.31
  6. Step 6: Final answer
    x = 771.53

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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.