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Finding the Fourth Proportional to 553.98, 764.35 and 406.36

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Solution

The fourth proportional to 553.98, 764.35 and 406.36 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.98 : 764.35 = 406.36 : x
  2. Step 2: Convert to fraction form
    553.98/764.35 = 406.36/x
  3. Step 3: Cross multiply
    553.98x = 764.35 × 406.36
  4. Step 4: Simplify right side
    553.98x = 310,601.27
  5. Step 5: Solve for x
    x = 310,601.27/553.98
  6. Step 6: Final answer
    x = 560.67

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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.