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Finding the Fourth Proportional to 549.39, 825.80 and 345.27

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Solution

The fourth proportional to 549.39, 825.80 and 345.27 is: 518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.39 : 825.80 = 345.27 : x
  2. Step 2: Convert to fraction form
    549.39/825.80 = 345.27/x
  3. Step 3: Cross multiply
    549.39x = 825.80 × 345.27
  4. Step 4: Simplify right side
    549.39x = 285,122.24
  5. Step 5: Solve for x
    x = 285,122.24/549.39
  6. Step 6: Final answer
    x = 518.98

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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.