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Finding the Fourth Proportional to 512.43, 707.28 and 310.69

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Solution

The fourth proportional to 512.43, 707.28 and 310.69 is: 428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 707.28 = 310.69 : x
  2. Step 2: Convert to fraction form
    512.43/707.28 = 310.69/x
  3. Step 3: Cross multiply
    512.43x = 707.28 × 310.69
  4. Step 4: Simplify right side
    512.43x = 219,744.82
  5. Step 5: Solve for x
    x = 219,744.82/512.43
  6. Step 6: Final answer
    x = 428.83

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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.