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Finding the Fourth Proportional to 660.28, 911.17 and 411.47

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Solution

The fourth proportional to 660.28, 911.17 and 411.47 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.28 : 911.17 = 411.47 : x
  2. Step 2: Convert to fraction form
    660.28/911.17 = 411.47/x
  3. Step 3: Cross multiply
    660.28x = 911.17 × 411.47
  4. Step 4: Simplify right side
    660.28x = 374,920.37
  5. Step 5: Solve for x
    x = 374,920.37/660.28
  6. Step 6: Final answer
    x = 567.82

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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.