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Finding the Fourth Proportional to 519.64, 716.80 and 371.96

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Solution

The fourth proportional to 519.64, 716.80 and 371.96 is: 513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.64 : 716.80 = 371.96 : x
  2. Step 2: Convert to fraction form
    519.64/716.80 = 371.96/x
  3. Step 3: Cross multiply
    519.64x = 716.80 × 371.96
  4. Step 4: Simplify right side
    519.64x = 266,620.93
  5. Step 5: Solve for x
    x = 266,620.93/519.64
  6. Step 6: Final answer
    x = 513.09

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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.