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Finding the Fourth Proportional to 556.52, 768.04 and 320.54

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Solution

The fourth proportional to 556.52, 768.04 and 320.54 is: 442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.52 : 768.04 = 320.54 : x
  2. Step 2: Convert to fraction form
    556.52/768.04 = 320.54/x
  3. Step 3: Cross multiply
    556.52x = 768.04 × 320.54
  4. Step 4: Simplify right side
    556.52x = 246,187.54
  5. Step 5: Solve for x
    x = 246,187.54/556.52
  6. Step 6: Final answer
    x = 442.37

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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.