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Finding the Fourth Proportional to 517.70, 775.74 and 243.74

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Solution

The fourth proportional to 517.70, 775.74 and 243.74 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 775.74 = 243.74 : x
  2. Step 2: Convert to fraction form
    517.70/775.74 = 243.74/x
  3. Step 3: Cross multiply
    517.70x = 775.74 × 243.74
  4. Step 4: Simplify right side
    517.70x = 189,078.87
  5. Step 5: Solve for x
    x = 189,078.87/517.70
  6. Step 6: Final answer
    x = 365.23

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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.