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Finding the Fourth Proportional to 829.62, 1,143.36 and 664.38

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Solution

The fourth proportional to 829.62, 1,143.36 and 664.38 is: 915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,143.36 = 664.38 : x
  2. Step 2: Convert to fraction form
    829.62/1,143.36 = 664.38/x
  3. Step 3: Cross multiply
    829.62x = 1,143.36 × 664.38
  4. Step 4: Simplify right side
    829.62x = 759,625.52
  5. Step 5: Solve for x
    x = 759,625.52/829.62
  6. Step 6: Final answer
    x = 915.63

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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.