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Finding the Fourth Proportional to 519.60, 716.78 and 386.96

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Solution

The fourth proportional to 519.60, 716.78 and 386.96 is: 533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 716.78 = 386.96 : x
  2. Step 2: Convert to fraction form
    519.60/716.78 = 386.96/x
  3. Step 3: Cross multiply
    519.60x = 716.78 × 386.96
  4. Step 4: Simplify right side
    519.60x = 277,365.19
  5. Step 5: Solve for x
    x = 277,365.19/519.60
  6. Step 6: Final answer
    x = 533.81

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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.