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Finding the Fourth Proportional to 660.96, 911.79 and 412.56

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Solution

The fourth proportional to 660.96, 911.79 and 412.56 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.96 : 911.79 = 412.56 : x
  2. Step 2: Convert to fraction form
    660.96/911.79 = 412.56/x
  3. Step 3: Cross multiply
    660.96x = 911.79 × 412.56
  4. Step 4: Simplify right side
    660.96x = 376,168.08
  5. Step 5: Solve for x
    x = 376,168.08/660.96
  6. Step 6: Final answer
    x = 569.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.