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Finding the Fourth Proportional to 517.48, 775.86 and 286.42

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Solution

The fourth proportional to 517.48, 775.86 and 286.42 is: 429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.48 : 775.86 = 286.42 : x
  2. Step 2: Convert to fraction form
    517.48/775.86 = 286.42/x
  3. Step 3: Cross multiply
    517.48x = 775.86 × 286.42
  4. Step 4: Simplify right side
    517.48x = 222,221.82
  5. Step 5: Solve for x
    x = 222,221.82/517.48
  6. Step 6: Final answer
    x = 429.43

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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.