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Finding the Fourth Proportional to 654.12, 983.04 and 629.88

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Solution

The fourth proportional to 654.12, 983.04 and 629.88 is: 946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 983.04 = 629.88 : x
  2. Step 2: Convert to fraction form
    654.12/983.04 = 629.88/x
  3. Step 3: Cross multiply
    654.12x = 983.04 × 629.88
  4. Step 4: Simplify right side
    654.12x = 619,197.24
  5. Step 5: Solve for x
    x = 619,197.24/654.12
  6. Step 6: Final answer
    x = 946.61

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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.