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Finding the Fourth Proportional to 513.90, 709.72 and 396.30

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Solution

The fourth proportional to 513.90, 709.72 and 396.30 is: 547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.90 : 709.72 = 396.30 : x
  2. Step 2: Convert to fraction form
    513.90/709.72 = 396.30/x
  3. Step 3: Cross multiply
    513.90x = 709.72 × 396.30
  4. Step 4: Simplify right side
    513.90x = 281,262.04
  5. Step 5: Solve for x
    x = 281,262.04/513.90
  6. Step 6: Final answer
    x = 547.31

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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.