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Finding the Fourth Proportional to 519.08, 716.78 and 353.24

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Solution

The fourth proportional to 519.08, 716.78 and 353.24 is: 487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.08 : 716.78 = 353.24 : x
  2. Step 2: Convert to fraction form
    519.08/716.78 = 353.24/x
  3. Step 3: Cross multiply
    519.08x = 716.78 × 353.24
  4. Step 4: Simplify right side
    519.08x = 253,192.67
  5. Step 5: Solve for x
    x = 253,192.67/519.08
  6. Step 6: Final answer
    x = 487.78

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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.