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Finding the Fourth Proportional to 669.53, 1,002.95 and 334.97

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Solution

The fourth proportional to 669.53, 1,002.95 and 334.97 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.53 : 1,002.95 = 334.97 : x
  2. Step 2: Convert to fraction form
    669.53/1,002.95 = 334.97/x
  3. Step 3: Cross multiply
    669.53x = 1,002.95 × 334.97
  4. Step 4: Simplify right side
    669.53x = 335,958.16
  5. Step 5: Solve for x
    x = 335,958.16/669.53
  6. Step 6: Final answer
    x = 501.78

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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.