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Finding the Fourth Proportional to 517.71, 776.69 and 257.83

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Solution

The fourth proportional to 517.71, 776.69 and 257.83 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 776.69 = 257.83 : x
  2. Step 2: Convert to fraction form
    517.71/776.69 = 257.83/x
  3. Step 3: Cross multiply
    517.71x = 776.69 × 257.83
  4. Step 4: Simplify right side
    517.71x = 200,252.69
  5. Step 5: Solve for x
    x = 200,252.69/517.71
  6. Step 6: Final answer
    x = 386.81

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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.