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Finding the Fourth Proportional to 556.67, 768.32 and 320.78

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Solution

The fourth proportional to 556.67, 768.32 and 320.78 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.67 : 768.32 = 320.78 : x
  2. Step 2: Convert to fraction form
    556.67/768.32 = 320.78/x
  3. Step 3: Cross multiply
    556.67x = 768.32 × 320.78
  4. Step 4: Simplify right side
    556.67x = 246,456.24
  5. Step 5: Solve for x
    x = 246,456.24/556.67
  6. Step 6: Final answer
    x = 442.74

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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.