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Finding the Fourth Proportional to 911.68, 1,366.32 and 857.60

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Solution

The fourth proportional to 911.68, 1,366.32 and 857.60 is: 1,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.68 : 1,366.32 = 857.60 : x
  2. Step 2: Convert to fraction form
    911.68/1,366.32 = 857.60/x
  3. Step 3: Cross multiply
    911.68x = 1,366.32 × 857.60
  4. Step 4: Simplify right side
    911.68x = 1,171,756.03
  5. Step 5: Solve for x
    x = 1,171,756.03/911.68
  6. Step 6: Final answer
    x = 1,285.27

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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.