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Finding the Fourth Proportional to 611.38, 917.64 and 286.96

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Solution

The fourth proportional to 611.38, 917.64 and 286.96 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.38 : 917.64 = 286.96 : x
  2. Step 2: Convert to fraction form
    611.38/917.64 = 286.96/x
  3. Step 3: Cross multiply
    611.38x = 917.64 × 286.96
  4. Step 4: Simplify right side
    611.38x = 263,325.97
  5. Step 5: Solve for x
    x = 263,325.97/611.38
  6. Step 6: Final answer
    x = 430.71

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.