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Finding the Fourth Proportional to 553.17, 763.29 and 320.25

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Solution

The fourth proportional to 553.17, 763.29 and 320.25 is: 441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.17 : 763.29 = 320.25 : x
  2. Step 2: Convert to fraction form
    553.17/763.29 = 320.25/x
  3. Step 3: Cross multiply
    553.17x = 763.29 × 320.25
  4. Step 4: Simplify right side
    553.17x = 244,443.62
  5. Step 5: Solve for x
    x = 244,443.62/553.17
  6. Step 6: Final answer
    x = 441.90

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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.