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Finding the Fourth Proportional to 513.75, 709.04 and 306.75

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Solution

The fourth proportional to 513.75, 709.04 and 306.75 is: 423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 709.04 = 306.75 : x
  2. Step 2: Convert to fraction form
    513.75/709.04 = 306.75/x
  3. Step 3: Cross multiply
    513.75x = 709.04 × 306.75
  4. Step 4: Simplify right side
    513.75x = 217,498.02
  5. Step 5: Solve for x
    x = 217,498.02/513.75
  6. Step 6: Final answer
    x = 423.35

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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.