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Finding the Fourth Proportional to 549.03, 818.50 and 523.11

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Solution

The fourth proportional to 549.03, 818.50 and 523.11 is: 779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.03 : 818.50 = 523.11 : x
  2. Step 2: Convert to fraction form
    549.03/818.50 = 523.11/x
  3. Step 3: Cross multiply
    549.03x = 818.50 × 523.11
  4. Step 4: Simplify right side
    549.03x = 428,164.23
  5. Step 5: Solve for x
    x = 428,164.23/549.03
  6. Step 6: Final answer
    x = 779.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.