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Finding the Fourth Proportional to 712.62, 979.43 and 629.22

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Solution

The fourth proportional to 712.62, 979.43 and 629.22 is: 864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 979.43 = 629.22 : x
  2. Step 2: Convert to fraction form
    712.62/979.43 = 629.22/x
  3. Step 3: Cross multiply
    712.62x = 979.43 × 629.22
  4. Step 4: Simplify right side
    712.62x = 616,276.94
  5. Step 5: Solve for x
    x = 616,276.94/712.62
  6. Step 6: Final answer
    x = 864.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.