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Finding the Fourth Proportional to 517.90, 776.97 and 286.47

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Solution

The fourth proportional to 517.90, 776.97 and 286.47 is: 429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.90 : 776.97 = 286.47 : x
  2. Step 2: Convert to fraction form
    517.90/776.97 = 286.47/x
  3. Step 3: Cross multiply
    517.90x = 776.97 × 286.47
  4. Step 4: Simplify right side
    517.90x = 222,578.60
  5. Step 5: Solve for x
    x = 222,578.60/517.90
  6. Step 6: Final answer
    x = 429.77

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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.