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Finding the Fourth Proportional to 911.96, 1,258.91 and 580.83

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Solution

The fourth proportional to 911.96, 1,258.91 and 580.83 is: 801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.96 : 1,258.91 = 580.83 : x
  2. Step 2: Convert to fraction form
    911.96/1,258.91 = 580.83/x
  3. Step 3: Cross multiply
    911.96x = 1,258.91 × 580.83
  4. Step 4: Simplify right side
    911.96x = 731,209.79
  5. Step 5: Solve for x
    x = 731,209.79/911.96
  6. Step 6: Final answer
    x = 801.80

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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.