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Finding the Fourth Proportional to 519.94, 720.52 and 422.74

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Solution

The fourth proportional to 519.94, 720.52 and 422.74 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 720.52 = 422.74 : x
  2. Step 2: Convert to fraction form
    519.94/720.52 = 422.74/x
  3. Step 3: Cross multiply
    519.94x = 720.52 × 422.74
  4. Step 4: Simplify right side
    519.94x = 304,592.62
  5. Step 5: Solve for x
    x = 304,592.62/519.94
  6. Step 6: Final answer
    x = 585.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.