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Finding the Fourth Proportional to 553.07, 763.21 and 320.20

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Solution

The fourth proportional to 553.07, 763.21 and 320.20 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.07 : 763.21 = 320.20 : x
  2. Step 2: Convert to fraction form
    553.07/763.21 = 320.20/x
  3. Step 3: Cross multiply
    553.07x = 763.21 × 320.20
  4. Step 4: Simplify right side
    553.07x = 244,379.84
  5. Step 5: Solve for x
    x = 244,379.84/553.07
  6. Step 6: Final answer
    x = 441.86

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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.