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Finding the Fourth Proportional to 519.84, 716.99 and 441.88

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Solution

The fourth proportional to 519.84, 716.99 and 441.88 is: 609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 716.99 = 441.88 : x
  2. Step 2: Convert to fraction form
    519.84/716.99 = 441.88/x
  3. Step 3: Cross multiply
    519.84x = 716.99 × 441.88
  4. Step 4: Simplify right side
    519.84x = 316,819.54
  5. Step 5: Solve for x
    x = 316,819.54/519.84
  6. Step 6: Final answer
    x = 609.46

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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.