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Finding the Fourth Proportional to 669.25, 1,004.42 and 344.71

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Solution

The fourth proportional to 669.25, 1,004.42 and 344.71 is: 517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.25 : 1,004.42 = 344.71 : x
  2. Step 2: Convert to fraction form
    669.25/1,004.42 = 344.71/x
  3. Step 3: Cross multiply
    669.25x = 1,004.42 × 344.71
  4. Step 4: Simplify right side
    669.25x = 346,231.89
  5. Step 5: Solve for x
    x = 346,231.89/669.25
  6. Step 6: Final answer
    x = 517.34

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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.