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Finding the Fourth Proportional to 519.44, 716.98 and 353.94

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Solution

The fourth proportional to 519.44, 716.98 and 353.94 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 716.98 = 353.94 : x
  2. Step 2: Convert to fraction form
    519.44/716.98 = 353.94/x
  3. Step 3: Cross multiply
    519.44x = 716.98 × 353.94
  4. Step 4: Simplify right side
    519.44x = 253,767.90
  5. Step 5: Solve for x
    x = 253,767.90/519.44
  6. Step 6: Final answer
    x = 488.54

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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.