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Finding the Fourth Proportional to 513.97, 709.27 and 289.89

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Solution

The fourth proportional to 513.97, 709.27 and 289.89 is: 400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.97 : 709.27 = 289.89 : x
  2. Step 2: Convert to fraction form
    513.97/709.27 = 289.89/x
  3. Step 3: Cross multiply
    513.97x = 709.27 × 289.89
  4. Step 4: Simplify right side
    513.97x = 205,609.56
  5. Step 5: Solve for x
    x = 205,609.56/513.97
  6. Step 6: Final answer
    x = 400.04

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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.