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Finding the Fourth Proportional to 549.94, 825.82 and 513.49

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Solution

The fourth proportional to 549.94, 825.82 and 513.49 is: 771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.94 : 825.82 = 513.49 : x
  2. Step 2: Convert to fraction form
    549.94/825.82 = 513.49/x
  3. Step 3: Cross multiply
    549.94x = 825.82 × 513.49
  4. Step 4: Simplify right side
    549.94x = 424,049.96
  5. Step 5: Solve for x
    x = 424,049.96/549.94
  6. Step 6: Final answer
    x = 771.08

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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.