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Finding the Fourth Proportional to 549, 757.80 and 394.20

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Solution

The fourth proportional to 549, 757.80 and 394.20 is: 544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549 : 757.80 = 394.20 : x
  2. Step 2: Convert to fraction form
    549/757.80 = 394.20/x
  3. Step 3: Cross multiply
    549x = 757.80 × 394.20
  4. Step 4: Simplify right side
    549x = 298,724.76
  5. Step 5: Solve for x
    x = 298,724.76/549
  6. Step 6: Final answer
    x = 544.13

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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.