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Finding the Fourth Proportional to 1,300.83, 1,948.09 and 911.22

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Solution

The fourth proportional to 1,300.83, 1,948.09 and 911.22 is: 1,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.83 : 1,948.09 = 911.22 : x
  2. Step 2: Convert to fraction form
    1,300.83/1,948.09 = 911.22/x
  3. Step 3: Cross multiply
    1,300.83x = 1,948.09 × 911.22
  4. Step 4: Simplify right side
    1,300.83x = 1,775,138.57
  5. Step 5: Solve for x
    x = 1,775,138.57/1,300.83
  6. Step 6: Final answer
    x = 1,364.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.