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Finding the Fourth Proportional to 553.59, 763.97 and 320.85

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Solution

The fourth proportional to 553.59, 763.97 and 320.85 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.59 : 763.97 = 320.85 : x
  2. Step 2: Convert to fraction form
    553.59/763.97 = 320.85/x
  3. Step 3: Cross multiply
    553.59x = 763.97 × 320.85
  4. Step 4: Simplify right side
    553.59x = 245,118.17
  5. Step 5: Solve for x
    x = 245,118.17/553.59
  6. Step 6: Final answer
    x = 442.78

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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.