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Finding the Fourth Proportional to 512.73, 707.94 and 480.33

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Solution

The fourth proportional to 512.73, 707.94 and 480.33 is: 663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 707.94 = 480.33 : x
  2. Step 2: Convert to fraction form
    512.73/707.94 = 480.33/x
  3. Step 3: Cross multiply
    512.73x = 707.94 × 480.33
  4. Step 4: Simplify right side
    512.73x = 340,044.82
  5. Step 5: Solve for x
    x = 340,044.82/512.73
  6. Step 6: Final answer
    x = 663.20

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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.