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Finding the Fourth Proportional to 556.91, 768.49 and 320.85

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Solution

The fourth proportional to 556.91, 768.49 and 320.85 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.91 : 768.49 = 320.85 : x
  2. Step 2: Convert to fraction form
    556.91/768.49 = 320.85/x
  3. Step 3: Cross multiply
    556.91x = 768.49 × 320.85
  4. Step 4: Simplify right side
    556.91x = 246,566.17
  5. Step 5: Solve for x
    x = 246,566.17/556.91
  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.