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Finding the Fourth Proportional to 513.71, 708.86 and 333.93

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Solution

The fourth proportional to 513.71, 708.86 and 333.93 is: 460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 708.86 = 333.93 : x
  2. Step 2: Convert to fraction form
    513.71/708.86 = 333.93/x
  3. Step 3: Cross multiply
    513.71x = 708.86 × 333.93
  4. Step 4: Simplify right side
    513.71x = 236,707.95
  5. Step 5: Solve for x
    x = 236,707.95/513.71
  6. Step 6: Final answer
    x = 460.79

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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.