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Finding the Fourth Proportional to 669.14, 1,005.76 and 654.79

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Solution

The fourth proportional to 669.14, 1,005.76 and 654.79 is: 984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.14 : 1,005.76 = 654.79 : x
  2. Step 2: Convert to fraction form
    669.14/1,005.76 = 654.79/x
  3. Step 3: Cross multiply
    669.14x = 1,005.76 × 654.79
  4. Step 4: Simplify right side
    669.14x = 658,556.56
  5. Step 5: Solve for x
    x = 658,556.56/669.14
  6. Step 6: Final answer
    x = 984.18

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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.