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Finding the Fourth Proportional to 911.09, 1,365.17 and 545.70

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Solution

The fourth proportional to 911.09, 1,365.17 and 545.70 is: 817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.09 : 1,365.17 = 545.70 : x
  2. Step 2: Convert to fraction form
    911.09/1,365.17 = 545.70/x
  3. Step 3: Cross multiply
    911.09x = 1,365.17 × 545.70
  4. Step 4: Simplify right side
    911.09x = 744,970.54
  5. Step 5: Solve for x
    x = 744,970.54/911.09
  6. Step 6: Final answer
    x = 817.67

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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.