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Finding the Fourth Proportional to 513.93, 709.23 and 314.73

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Solution

The fourth proportional to 513.93, 709.23 and 314.73 is: 434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.93 : 709.23 = 314.73 : x
  2. Step 2: Convert to fraction form
    513.93/709.23 = 314.73/x
  3. Step 3: Cross multiply
    513.93x = 709.23 × 314.73
  4. Step 4: Simplify right side
    513.93x = 223,217.73
  5. Step 5: Solve for x
    x = 223,217.73/513.93
  6. Step 6: Final answer
    x = 434.34

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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.