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Finding the Fourth Proportional to 939.84, 1,296 and 628.80

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Solution

The fourth proportional to 939.84, 1,296 and 628.80 is: 867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.84 : 1,296 = 628.80 : x
  2. Step 2: Convert to fraction form
    939.84/1,296 = 628.80/x
  3. Step 3: Cross multiply
    939.84x = 1,296 × 628.80
  4. Step 4: Simplify right side
    939.84x = 814,924.80
  5. Step 5: Solve for x
    x = 814,924.80/939.84
  6. Step 6: Final answer
    x = 867.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.