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Finding the Fourth Proportional to 519.17, 716.46 and 298.13

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Solution

The fourth proportional to 519.17, 716.46 and 298.13 is: 411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.17 : 716.46 = 298.13 : x
  2. Step 2: Convert to fraction form
    519.17/716.46 = 298.13/x
  3. Step 3: Cross multiply
    519.17x = 716.46 × 298.13
  4. Step 4: Simplify right side
    519.17x = 213,598.22
  5. Step 5: Solve for x
    x = 213,598.22/519.17
  6. Step 6: Final answer
    x = 411.42

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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.