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Finding the Fourth Proportional to 519.46, 715.86 and 371.84

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Solution

The fourth proportional to 519.46, 715.86 and 371.84 is: 512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 715.86 = 371.84 : x
  2. Step 2: Convert to fraction form
    519.46/715.86 = 371.84/x
  3. Step 3: Cross multiply
    519.46x = 715.86 × 371.84
  4. Step 4: Simplify right side
    519.46x = 266,184.09
  5. Step 5: Solve for x
    x = 266,184.09/519.46
  6. Step 6: Final answer
    x = 512.43

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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.