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Finding the Fourth Proportional to 549.37, 823.20 and 394.93

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Solution

The fourth proportional to 549.37, 823.20 and 394.93 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.37 : 823.20 = 394.93 : x
  2. Step 2: Convert to fraction form
    549.37/823.20 = 394.93/x
  3. Step 3: Cross multiply
    549.37x = 823.20 × 394.93
  4. Step 4: Simplify right side
    549.37x = 325,106.38
  5. Step 5: Solve for x
    x = 325,106.38/549.37
  6. Step 6: Final answer
    x = 591.78

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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.