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Finding the Fourth Proportional to 513.41, 708.35 and 314.15

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Solution

The fourth proportional to 513.41, 708.35 and 314.15 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.41 : 708.35 = 314.15 : x
  2. Step 2: Convert to fraction form
    513.41/708.35 = 314.15/x
  3. Step 3: Cross multiply
    513.41x = 708.35 × 314.15
  4. Step 4: Simplify right side
    513.41x = 222,523.04
  5. Step 5: Solve for x
    x = 222,523.04/513.41
  6. Step 6: Final answer
    x = 433.43

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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.