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Finding the Fourth Proportional to 983.17, 1,474.94 and 406.09

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Solution

The fourth proportional to 983.17, 1,474.94 and 406.09 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.17 : 1,474.94 = 406.09 : x
  2. Step 2: Convert to fraction form
    983.17/1,474.94 = 406.09/x
  3. Step 3: Cross multiply
    983.17x = 1,474.94 × 406.09
  4. Step 4: Simplify right side
    983.17x = 598,958.38
  5. Step 5: Solve for x
    x = 598,958.38/983.17
  6. Step 6: Final answer
    x = 609.21

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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.