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Finding the Fourth Proportional to 519.66, 716.33 and 353.59

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Solution

The fourth proportional to 519.66, 716.33 and 353.59 is: 487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.66 : 716.33 = 353.59 : x
  2. Step 2: Convert to fraction form
    519.66/716.33 = 353.59/x
  3. Step 3: Cross multiply
    519.66x = 716.33 × 353.59
  4. Step 4: Simplify right side
    519.66x = 253,286.25
  5. Step 5: Solve for x
    x = 253,286.25/519.66
  6. Step 6: Final answer
    x = 487.40

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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.