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Finding the Fourth Proportional to 519.28, 716.88 and 379.72

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Solution

The fourth proportional to 519.28, 716.88 and 379.72 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.28 : 716.88 = 379.72 : x
  2. Step 2: Convert to fraction form
    519.28/716.88 = 379.72/x
  3. Step 3: Cross multiply
    519.28x = 716.88 × 379.72
  4. Step 4: Simplify right side
    519.28x = 272,213.67
  5. Step 5: Solve for x
    x = 272,213.67/519.28
  6. Step 6: Final answer
    x = 524.21

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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.