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Finding the Fourth Proportional to 660.71, 911.88 and 412.11

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Solution

The fourth proportional to 660.71, 911.88 and 412.11 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.71 : 911.88 = 412.11 : x
  2. Step 2: Convert to fraction form
    660.71/911.88 = 412.11/x
  3. Step 3: Cross multiply
    660.71x = 911.88 × 412.11
  4. Step 4: Simplify right side
    660.71x = 375,795.98
  5. Step 5: Solve for x
    x = 375,795.98/660.71
  6. Step 6: Final answer
    x = 568.77

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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.