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Finding the Fourth Proportional to 655.44, 983.96 and 412.44

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Solution

The fourth proportional to 655.44, 983.96 and 412.44 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.44 : 983.96 = 412.44 : x
  2. Step 2: Convert to fraction form
    655.44/983.96 = 412.44/x
  3. Step 3: Cross multiply
    655.44x = 983.96 × 412.44
  4. Step 4: Simplify right side
    655.44x = 405,824.46
  5. Step 5: Solve for x
    x = 405,824.46/655.44
  6. Step 6: Final answer
    x = 619.16

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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.