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Finding the Fourth Proportional to 553.85, 764.31 and 305.16

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Solution

The fourth proportional to 553.85, 764.31 and 305.16 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.85 : 764.31 = 305.16 : x
  2. Step 2: Convert to fraction form
    553.85/764.31 = 305.16/x
  3. Step 3: Cross multiply
    553.85x = 764.31 × 305.16
  4. Step 4: Simplify right side
    553.85x = 233,239.04
  5. Step 5: Solve for x
    x = 233,239.04/553.85
  6. Step 6: Final answer
    x = 421.13

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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.