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Finding the Fourth Proportional to 556.97, 768.62 and 308.29

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Solution

The fourth proportional to 556.97, 768.62 and 308.29 is: 425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.97 : 768.62 = 308.29 : x
  2. Step 2: Convert to fraction form
    556.97/768.62 = 308.29/x
  3. Step 3: Cross multiply
    556.97x = 768.62 × 308.29
  4. Step 4: Simplify right side
    556.97x = 236,959.01
  5. Step 5: Solve for x
    x = 236,959.01/556.97
  6. Step 6: Final answer
    x = 425.44

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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.