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Finding the Fourth Proportional to 660.41, 910.91 and 411.64

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Solution

The fourth proportional to 660.41, 910.91 and 411.64 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.41 : 910.91 = 411.64 : x
  2. Step 2: Convert to fraction form
    660.41/910.91 = 411.64/x
  3. Step 3: Cross multiply
    660.41x = 910.91 × 411.64
  4. Step 4: Simplify right side
    660.41x = 374,965.74
  5. Step 5: Solve for x
    x = 374,965.74/660.41
  6. Step 6: Final answer
    x = 567.78

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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.