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Finding the Fourth Proportional to 553.70, 764.08 and 305

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Solution

The fourth proportional to 553.70, 764.08 and 305 is: 420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 764.08 = 305 : x
  2. Step 2: Convert to fraction form
    553.70/764.08 = 305/x
  3. Step 3: Cross multiply
    553.70x = 764.08 × 305
  4. Step 4: Simplify right side
    553.70x = 233,044.40
  5. Step 5: Solve for x
    x = 233,044.40/553.70
  6. Step 6: Final answer
    x = 420.89

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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.