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Finding the Fourth Proportional to 660.72, 911.89 and 412.12

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Solution

The fourth proportional to 660.72, 911.89 and 412.12 is: 568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.72 : 911.89 = 412.12 : x
  2. Step 2: Convert to fraction form
    660.72/911.89 = 412.12/x
  3. Step 3: Cross multiply
    660.72x = 911.89 × 412.12
  4. Step 4: Simplify right side
    660.72x = 375,808.11
  5. Step 5: Solve for x
    x = 375,808.11/660.72
  6. Step 6: Final answer
    x = 568.79

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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.