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Finding the Fourth Proportional to 660.10, 911.27 and 461.11

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Solution

The fourth proportional to 660.10, 911.27 and 461.11 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 911.27 = 461.11 : x
  2. Step 2: Convert to fraction form
    660.10/911.27 = 461.11/x
  3. Step 3: Cross multiply
    660.10x = 911.27 × 461.11
  4. Step 4: Simplify right side
    660.10x = 420,195.71
  5. Step 5: Solve for x
    x = 420,195.71/660.10
  6. Step 6: Final answer
    x = 636.56

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1.5x scale

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.