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Finding the Fourth Proportional to 519.44, 715.84 and 371.82

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Solution

The fourth proportional to 519.44, 715.84 and 371.82 is: 512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 715.84 = 371.82 : x
  2. Step 2: Convert to fraction form
    519.44/715.84 = 371.82/x
  3. Step 3: Cross multiply
    519.44x = 715.84 × 371.82
  4. Step 4: Simplify right side
    519.44x = 266,163.63
  5. Step 5: Solve for x
    x = 266,163.63/519.44
  6. Step 6: Final answer
    x = 512.40

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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.