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Finding the Fourth Proportional to 513.79, 709.14 and 301.24

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Solution

The fourth proportional to 513.79, 709.14 and 301.24 is: 415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.79 : 709.14 = 301.24 : x
  2. Step 2: Convert to fraction form
    513.79/709.14 = 301.24/x
  3. Step 3: Cross multiply
    513.79x = 709.14 × 301.24
  4. Step 4: Simplify right side
    513.79x = 213,622.35
  5. Step 5: Solve for x
    x = 213,622.35/513.79
  6. Step 6: Final answer
    x = 415.78

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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.