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Finding the Fourth Proportional to 941.40, 1,299.24 and 911.16

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Solution

The fourth proportional to 941.40, 1,299.24 and 911.16 is: 1,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,299.24 = 911.16 : x
  2. Step 2: Convert to fraction form
    941.40/1,299.24 = 911.16/x
  3. Step 3: Cross multiply
    941.40x = 1,299.24 × 911.16
  4. Step 4: Simplify right side
    941.40x = 1,183,815.52
  5. Step 5: Solve for x
    x = 1,183,815.52/941.40
  6. Step 6: Final answer
    x = 1,257.51

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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.