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Finding the Fourth Proportional to 553.77, 764.14 and 320.85

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Solution

The fourth proportional to 553.77, 764.14 and 320.85 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.77 : 764.14 = 320.85 : x
  2. Step 2: Convert to fraction form
    553.77/764.14 = 320.85/x
  3. Step 3: Cross multiply
    553.77x = 764.14 × 320.85
  4. Step 4: Simplify right side
    553.77x = 245,174.32
  5. Step 5: Solve for x
    x = 245,174.32/553.77
  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.