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Finding the Fourth Proportional to 513.66, 708.78 and 306.66

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Solution

The fourth proportional to 513.66, 708.78 and 306.66 is: 423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.66 : 708.78 = 306.66 : x
  2. Step 2: Convert to fraction form
    513.66/708.78 = 306.66/x
  3. Step 3: Cross multiply
    513.66x = 708.78 × 306.66
  4. Step 4: Simplify right side
    513.66x = 217,354.47
  5. Step 5: Solve for x
    x = 217,354.47/513.66
  6. Step 6: Final answer
    x = 423.15

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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.