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Finding the Fourth Proportional to 829.78, 1,244.75 and 668.49

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Solution

The fourth proportional to 829.78, 1,244.75 and 668.49 is: 1,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,244.75 = 668.49 : x
  2. Step 2: Convert to fraction form
    829.78/1,244.75 = 668.49/x
  3. Step 3: Cross multiply
    829.78x = 1,244.75 × 668.49
  4. Step 4: Simplify right side
    829.78x = 832,102.93
  5. Step 5: Solve for x
    x = 832,102.93/829.78
  6. Step 6: Final answer
    x = 1,002.80

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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.