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Finding the Fourth Proportional to 513.73, 708.70 and 336.69

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Solution

The fourth proportional to 513.73, 708.70 and 336.69 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.73 : 708.70 = 336.69 : x
  2. Step 2: Convert to fraction form
    513.73/708.70 = 336.69/x
  3. Step 3: Cross multiply
    513.73x = 708.70 × 336.69
  4. Step 4: Simplify right side
    513.73x = 238,612.20
  5. Step 5: Solve for x
    x = 238,612.20/513.73
  6. Step 6: Final answer
    x = 464.47

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Double scale
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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.