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Finding the Fourth Proportional to 984, 1,473.27 and 637.73

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Solution

The fourth proportional to 984, 1,473.27 and 637.73 is: 954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984 : 1,473.27 = 637.73 : x
  2. Step 2: Convert to fraction form
    984/1,473.27 = 637.73/x
  3. Step 3: Cross multiply
    984x = 1,473.27 × 637.73
  4. Step 4: Simplify right side
    984x = 939,548.48
  5. Step 5: Solve for x
    x = 939,548.48/984
  6. Step 6: Final answer
    x = 954.83

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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.