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Finding the Fourth Proportional to 519.94, 712.06 and 513.12

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Solution

The fourth proportional to 519.94, 712.06 and 513.12 is: 702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 712.06 = 513.12 : x
  2. Step 2: Convert to fraction form
    519.94/712.06 = 513.12/x
  3. Step 3: Cross multiply
    519.94x = 712.06 × 513.12
  4. Step 4: Simplify right side
    519.94x = 365,372.23
  5. Step 5: Solve for x
    x = 365,372.23/519.94
  6. Step 6: Final answer
    x = 702.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.