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Finding the Fourth Proportional to 517.33, 775.68 and 257.41

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Solution

The fourth proportional to 517.33, 775.68 and 257.41 is: 385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.33 : 775.68 = 257.41 : x
  2. Step 2: Convert to fraction form
    517.33/775.68 = 257.41/x
  3. Step 3: Cross multiply
    517.33x = 775.68 × 257.41
  4. Step 4: Simplify right side
    517.33x = 199,667.79
  5. Step 5: Solve for x
    x = 199,667.79/517.33
  6. Step 6: Final answer
    x = 385.96

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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.