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Finding the Fourth Proportional to 669.80, 1,004.56 and 345

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Solution

The fourth proportional to 669.80, 1,004.56 and 345 is: 517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.80 : 1,004.56 = 345 : x
  2. Step 2: Convert to fraction form
    669.80/1,004.56 = 345/x
  3. Step 3: Cross multiply
    669.80x = 1,004.56 × 345
  4. Step 4: Simplify right side
    669.80x = 346,573.20
  5. Step 5: Solve for x
    x = 346,573.20/669.80
  6. Step 6: Final answer
    x = 517.43

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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.