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Finding the Fourth Proportional to 519.94, 717.51 and 310.21

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Solution

The fourth proportional to 519.94, 717.51 and 310.21 is: 428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 717.51 = 310.21 : x
  2. Step 2: Convert to fraction form
    519.94/717.51 = 310.21/x
  3. Step 3: Cross multiply
    519.94x = 717.51 × 310.21
  4. Step 4: Simplify right side
    519.94x = 222,576.98
  5. Step 5: Solve for x
    x = 222,576.98/519.94
  6. Step 6: Final answer
    x = 428.08

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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.