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Finding the Fourth Proportional to 553.48, 763.50 and 320.56

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Solution

The fourth proportional to 553.48, 763.50 and 320.56 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.48 : 763.50 = 320.56 : x
  2. Step 2: Convert to fraction form
    553.48/763.50 = 320.56/x
  3. Step 3: Cross multiply
    553.48x = 763.50 × 320.56
  4. Step 4: Simplify right side
    553.48x = 244,747.56
  5. Step 5: Solve for x
    x = 244,747.56/553.48
  6. Step 6: Final answer
    x = 442.20

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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.