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Finding the Fourth Proportional to 517.71, 775.85 and 286.25

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Solution

The fourth proportional to 517.71, 775.85 and 286.25 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 775.85 = 286.25 : x
  2. Step 2: Convert to fraction form
    517.71/775.85 = 286.25/x
  3. Step 3: Cross multiply
    517.71x = 775.85 × 286.25
  4. Step 4: Simplify right side
    517.71x = 222,087.06
  5. Step 5: Solve for x
    x = 222,087.06/517.71
  6. Step 6: Final answer
    x = 428.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.