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Finding the Fourth Proportional to 669.74, 1,005.13 and 299.41

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Solution

The fourth proportional to 669.74, 1,005.13 and 299.41 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.74 : 1,005.13 = 299.41 : x
  2. Step 2: Convert to fraction form
    669.74/1,005.13 = 299.41/x
  3. Step 3: Cross multiply
    669.74x = 1,005.13 × 299.41
  4. Step 4: Simplify right side
    669.74x = 300,945.97
  5. Step 5: Solve for x
    x = 300,945.97/669.74
  6. Step 6: Final answer
    x = 449.35

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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.