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Finding the Fourth Proportional to 549.86, 757.76 and 394.34

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Solution

The fourth proportional to 549.86, 757.76 and 394.34 is: 543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.86 : 757.76 = 394.34 : x
  2. Step 2: Convert to fraction form
    549.86/757.76 = 394.34/x
  3. Step 3: Cross multiply
    549.86x = 757.76 × 394.34
  4. Step 4: Simplify right side
    549.86x = 298,815.08
  5. Step 5: Solve for x
    x = 298,815.08/549.86
  6. Step 6: Final answer
    x = 543.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.