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Finding the Fourth Proportional to 519.10, 716.32 and 371.98

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Solution

The fourth proportional to 519.10, 716.32 and 371.98 is: 513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 716.32 = 371.98 : x
  2. Step 2: Convert to fraction form
    519.10/716.32 = 371.98/x
  3. Step 3: Cross multiply
    519.10x = 716.32 × 371.98
  4. Step 4: Simplify right side
    519.10x = 266,456.71
  5. Step 5: Solve for x
    x = 266,456.71/519.10
  6. Step 6: Final answer
    x = 513.31

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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.