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Finding the Fourth Proportional to 519.46, 716.79 and 286.54

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Solution

The fourth proportional to 519.46, 716.79 and 286.54 is: 395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 716.79 = 286.54 : x
  2. Step 2: Convert to fraction form
    519.46/716.79 = 286.54/x
  3. Step 3: Cross multiply
    519.46x = 716.79 × 286.54
  4. Step 4: Simplify right side
    519.46x = 205,389.01
  5. Step 5: Solve for x
    x = 205,389.01/519.46
  6. Step 6: Final answer
    x = 395.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.