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Finding the Fourth Proportional to 660.96, 908.20 and 654.24

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Solution

The fourth proportional to 660.96, 908.20 and 654.24 is: 898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.96 : 908.20 = 654.24 : x
  2. Step 2: Convert to fraction form
    660.96/908.20 = 654.24/x
  3. Step 3: Cross multiply
    660.96x = 908.20 × 654.24
  4. Step 4: Simplify right side
    660.96x = 594,180.77
  5. Step 5: Solve for x
    x = 594,180.77/660.96
  6. Step 6: Final answer
    x = 898.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.