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Finding the Fourth Proportional to 557.20, 768.26 and 482.38

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Solution

The fourth proportional to 557.20, 768.26 and 482.38 is: 665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.20 : 768.26 = 482.38 : x
  2. Step 2: Convert to fraction form
    557.20/768.26 = 482.38/x
  3. Step 3: Cross multiply
    557.20x = 768.26 × 482.38
  4. Step 4: Simplify right side
    557.20x = 370,593.26
  5. Step 5: Solve for x
    x = 370,593.26/557.20
  6. Step 6: Final answer
    x = 665.10

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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.