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Finding the Fourth Proportional to 669.79, 1,004.67 and 653.24

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Solution

The fourth proportional to 669.79, 1,004.67 and 653.24 is: 979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.79 : 1,004.67 = 653.24 : x
  2. Step 2: Convert to fraction form
    669.79/1,004.67 = 653.24/x
  3. Step 3: Cross multiply
    669.79x = 1,004.67 × 653.24
  4. Step 4: Simplify right side
    669.79x = 656,298.09
  5. Step 5: Solve for x
    x = 656,298.09/669.79
  6. Step 6: Final answer
    x = 979.86

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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.