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Finding the Fourth Proportional to 517.46, 775.43 and 379.87

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Solution

The fourth proportional to 517.46, 775.43 and 379.87 is: 569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 775.43 = 379.87 : x
  2. Step 2: Convert to fraction form
    517.46/775.43 = 379.87/x
  3. Step 3: Cross multiply
    517.46x = 775.43 × 379.87
  4. Step 4: Simplify right side
    517.46x = 294,562.59
  5. Step 5: Solve for x
    x = 294,562.59/517.46
  6. Step 6: Final answer
    x = 569.25

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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.