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Finding the Fourth Proportional to 669.89, 1,004.96 and 304.71

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Solution

The fourth proportional to 669.89, 1,004.96 and 304.71 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.89 : 1,004.96 = 304.71 : x
  2. Step 2: Convert to fraction form
    669.89/1,004.96 = 304.71/x
  3. Step 3: Cross multiply
    669.89x = 1,004.96 × 304.71
  4. Step 4: Simplify right side
    669.89x = 306,218.35
  5. Step 5: Solve for x
    x = 306,218.35/669.89
  6. Step 6: Final answer
    x = 457.12

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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.