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Finding the Fourth Proportional to 486.56, 729.60 and 405.44

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Solution

The fourth proportional to 486.56, 729.60 and 405.44 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 729.60 = 405.44 : x
  2. Step 2: Convert to fraction form
    486.56/729.60 = 405.44/x
  3. Step 3: Cross multiply
    486.56x = 729.60 × 405.44
  4. Step 4: Simplify right side
    486.56x = 295,809.02
  5. Step 5: Solve for x
    x = 295,809.02/486.56
  6. Step 6: Final answer
    x = 607.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.