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Finding the Fourth Proportional to 553.88, 764.42 and 321

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Solution

The fourth proportional to 553.88, 764.42 and 321 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 764.42 = 321 : x
  2. Step 2: Convert to fraction form
    553.88/764.42 = 321/x
  3. Step 3: Cross multiply
    553.88x = 764.42 × 321
  4. Step 4: Simplify right side
    553.88x = 245,377.22
  5. Step 5: Solve for x
    x = 245,377.22/553.88
  6. Step 6: Final answer
    x = 443.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.