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Finding the Fourth Proportional to 513.68, 708.54 and 306.68

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Solution

The fourth proportional to 513.68, 708.54 and 306.68 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.68 : 708.54 = 306.68 : x
  2. Step 2: Convert to fraction form
    513.68/708.54 = 306.68/x
  3. Step 3: Cross multiply
    513.68x = 708.54 × 306.68
  4. Step 4: Simplify right side
    513.68x = 217,295.05
  5. Step 5: Solve for x
    x = 217,295.05/513.68
  6. Step 6: Final answer
    x = 423.02

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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.