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Finding the Fourth Proportional to 660.38, 911.79 and 411.76

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Solution

The fourth proportional to 660.38, 911.79 and 411.76 is: 568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 911.79 = 411.76 : x
  2. Step 2: Convert to fraction form
    660.38/911.79 = 411.76/x
  3. Step 3: Cross multiply
    660.38x = 911.79 × 411.76
  4. Step 4: Simplify right side
    660.38x = 375,432.03
  5. Step 5: Solve for x
    x = 375,432.03/660.38
  6. Step 6: Final answer
    x = 568.51

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Half scale
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Double scale
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Similar ratio
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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.