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Finding the Fourth Proportional to 553.76, 764.18 and 305.07

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Solution

The fourth proportional to 553.76, 764.18 and 305.07 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.76 : 764.18 = 305.07 : x
  2. Step 2: Convert to fraction form
    553.76/764.18 = 305.07/x
  3. Step 3: Cross multiply
    553.76x = 764.18 × 305.07
  4. Step 4: Simplify right side
    553.76x = 233,126.87
  5. Step 5: Solve for x
    x = 233,126.87/553.76
  6. Step 6: Final answer
    x = 420.99

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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.